Answer to Find an equation of the tangent line to the graph of y= e^{x^2} at the point (5, e^{25}) By signing up, you'll get thousands ofA Sketch the graph of y = x 2 b Sketch the graph of y = ( x 2) 2 Starting with the graph of y = e x , find the equation of the graph that Starting with the graph of y = e x, find the equation of the graph that re When graphing a linear equation that is written in the form y = m x b, the vCalculus Graph y=e^ (x^2) y = e−x2 y = e x 2 Find where the expression e−x2 e x 2 is undefined The domain of the expression is all real numbers except where the expression is undefined In this case, there is no real number that makes the expression undefined The vertical asymptotes occur at areas of infinite discontinuity
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E^-(x^2+y^2+z^2) graph-Finding the Area of a Region between Two Curves 1 If R is the region bounded above by the graph of the function and below by the graph of the function over the interval find the area of region Solution The region is depicted in the following figure Figure 3 A region between two curves is shown where one curve is always greater than the otherThe graphs of y= e^ e ^ y= e^ x/2 sin 3 x y= x e^x/2 sin 3x x y= e^ e ^ −− x/2 and y= − x/2 are shown Use them to graph the following For one period of sin 3, plot all points where the graph of y = intersects the axis The graphs of −− x/2 and y= − x/2
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미적분 그래프 y=e^ (x^2) y = e−x2 y = e x 2 x = 0 x = 0 일 때 y y 값을 구합니다 자세한 풀이 단계를 보려면 여기를 누르세요 수식에서 변수 x x 에 0 0 을 대입합니다 f ( 0) = e − ( 0) 2 f ( 0) = e ( 0) 2 결과를 간단히 합니다 자세한 풀이 단계를 보려면 여기를Home News Feed Resources Profile People Classroom App Downloads About GeoGebraThis might feel a bit more difficult to graph, because just about all of my yvalues will be decimal approximationsBut if I round off to a reasonable number of decimal places (one or two is generally fine for the purposes of graphing), then this graph will be fairly easy
Example 1 Sketch the graph and determine the domain and range f (x) = 10 x 5 Solution The base 10 is used often, most notably with scientific notation Hence, 10 is called the common baseIn fact, the exponential function y = 10 x is so important that you will find a button 10 x dedicated to it on most modern scientific calculators In this example, we will sketch the basic graph y = 10Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
Find the equation of the tangent line stepbystep \square!Answer to Find an equation of the tangent line to the graph of y = e^{x^2} at the point (4, \\frac{1}{e^{16}}) By signing up, you'll getLet P be a point on the graph of {eq}y=e^{x^2/14} {/eq} with NONZERO xcoordinate a The normal line to the graph through P will have yintercept b
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For what values of x is the graph of y=e^x^2 concave down?More resources available at wwwmisterwootubecomFind an equation of the tangent line to the graph of y = ex 2 at the point (4, 1/e 16) Expert Answer % (9 ratings) Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator
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Values = (Give your answer as an interval or a list of intervals, eg, (infinity,8 or (1,5),(7,10) ) Best Answer 100% (3 ratings) Previous question Next question Get more help from Chegg Solve itWe use MathJax A Gallery of Exponential, Logarithmic, and Hyperbolic Functions Exponential functions have variables appearing in the exponent Also on this page are logarithmic functions (which are inverses of exponential functions) and hyperbolic functions (which are combinations of exponential functions) Explanation Chain Rule In order to differentiate a function of a function, say y, = f (g(x)), where we have to find dy dx, we need to do (a) substitute u = g(x), which gives us y = f (u) Then we need to use a formula called Chain Rule, which states that dy dx = dy du × du dx In fact if we have something like y = f (g(h(x))), we can have
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y = e^(x^2) Learn more about plot MATLAB Select a Web Site Choose a web site to get translated content where available and see local events and offers Professor Zap uses calculus to sketch the graph of the bell shaped functionCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history
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Question For What Values Of X Is The Graph Of Y=e^(−x^2) Concave Down?Graph y = e^x and inverse y = ln x Graph y = e^x and inverse y = ln x Create Class;The figure shows the graphs of y = 2 x, y = e x, y = 10 x, y = 2 −x, y = e −x, and y =10 −x The x ycoordinate plane is givenThere are six curves on the graph The curve labeled a enters the window at the point (−3, 8), goes down and right becoming less steep, crosses the yaxis at y = 1, and exits the window just above the xaxis;
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This problem has been solved!Graph y = e x;On the first question What happens to the calculus Find an equation of the tangent line to the graph at the given point (The graph is called a Witch of Agnesi) f(x)= 7 / x^2 3 (2,1)
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2 = 0, the graph is symmetry wrt the yaxis, and the xaxis is a horizontal asymptote • Wehave f0(x) = e−x 2 2 (−x) = −xe− x2 2 • Thus f ↑ on (−∞,0) and ↓ on (0,∞) • Atx = 0, f 0(x) = 0 Thus f(0) = e = 1 is the (only) local and absolute maximum •See the answer For what values of x is the graph of y=e^(−x^2) concave down? Solution graph `y=e^(x//2)`, showing the curve passes through `(2, e)` Example 8 RL Circuit Application In an RL circuit, the differential equation formed using Kirchhoff's law, is `RiL(di)/(dt)=V` Solve this DE, using separation of variables, given that
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Y=e^(x) is an exponential function which is decreasing in nature so it is monotonic Defining domain It takes all the real values as its input,from minus infinity to plus infinity This graph always remains above the XaxisBest Answer 100% (13 ratings) Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator The derivative is y' = x ⋅ e−x ⋅ ( − 1) − e−x ⋅ 1 x2 = −e−x(x 1) x2 Therefore the slope of the tangent line at x = 1 is y'(1) = −2e−1 12 = − 2 e ≈ − For extra fun, since y(1) = e−1 1 1 = 1 e e, the equation of the tangent line at x = 1 is y = 1 e e − 2 e (x − 1) = − 2 e x 3 e e
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Furthermore, the second equation states that 1 2x^2 = 0 > 2x^2 = 1 > x = sqrt(1/2) This doesn't have a real value so no real solution to this equation This simply means the function y =e^(x^2) will have no inflection points (y'' is positive on all it's domain, therefore concave up on (oo, oo)) We can even confirm graphicallyMove slider below to add more terms 3Algebra Graph y=e^ (2x) y = e2x y = e 2 x Exponential functions have a horizontal asymptote The equation of the horizontal asymptote is y = 0 y = 0 Horizontal Asymptote y = 0 y = 0
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Its graph is shown below From the side view, it appears that the minimum value of this function is around 500 A level curve of a function f (x,y) is a set of points (x,y) in the plane such that f (x,y)=c for a fixed value c Example 5 The level curves of f (x,y) = x 2 y 2 are curves of the form x 2 y 2 =c for different choices of cAnswer to Find an equation of the tangent line to the graph of y = e x 2 at the point ( 3 , 1 e 9 ) By signing up, you'll get thousands ofRelated » Graph » Number Line » Examples » Our online expert tutors can answer this problem Get stepbystep solutions from expert tutors as fast as 1530 minutes
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Sin (x)cos (y)=05 2x−3y=1 cos (x^2)=y (x−3) (x3)=y^2 y=x^2 If you don't include an equals sign, it will assume you mean " =0 " It has not been well tested, so have fun with it, but don't trust it If it gives you problems, let me know Note it may take a few seconds to finish, because it has to do lots of calculationsThis tool graphs z = f (x,y) mathematical functions in 3D It is more of a tour than a tool All functions can be set different boundaries for x, y, and z, to maximize your viewing enjoyment This tool looks really great with a very high detail level, but you may find it more comfortable to use less detail if you want to spin the modelFind the area of the region enclosed by the graphs of {eq}y = e^{x^2}2 \enspace and \enspace y = \sqrt{4x^2} {/eq} Area of the Bounded Region The graph of the curves can be drawn either in
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The graph of the function is the graph of all ordered pairs (x, y) where y = f(x) So we can write the ordered pairs as (x, f(x)) It looks different but the graph will be the same Compare the graph of y = 2x − 3 previously shown in Figure 314 with the graph of f(x) = 2x − 3 shown in Figure 315Var(XjY =y)=E(X2jY =y)¡E(XjY =y)2 Remark We always suppose that åx jg(x)jfXjY(xjy)•¥ Definition Denote j(y) = E(XjY = y) Then E(XjY) def= j(Y) In words, E(XjY) is a random variable which is a function of Y taking value E(XjY =y) when Y =y The E(g(X)jY) is defined similarly In particular E(X2jY) is obtained when g(X)=X2 and VarInclude in your sketch the traces of the graph in the three coordinate planes, if possible a) 1−x −y b) x 22 y2 c) x y2 d) 1−x −y2 e) x2 −y2 2 Calculate the first partial derivatives of each of the following functions x 2
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Algebra Graph y=x2 y = x − 2 y = x 2 Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x b Find the values of m m and b b using the form y = m x b y = m x b What happens to the graph of the line y = 2x 5 when the equation is changed to y = 5x 6?Expert Answer Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator
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What is the area of the region in the first quadrant enclosed by the graph of y E x 2 4?, Calc AB What is the area of the region in the first quadrant enclosed by the graph of y=e^(x^2/4) and the line y=05?Integrate y=e^(x^2/4) from x=0 to the point where e^(x^2/4) = 05 Furthermore, What is the area of the region in the first quadrant enclosed?, 1 AnswerPortion of the graph of the function lying in the first octant;The curve labeled b enters the window in
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KEEP LEARNING AND KEEP GROWING IF any doubt in curve sketching feel free to comment your doubt I will reply as soon as possibleLIKE COMMENT SHARE SubscribeGraph y = e x 2 I will compute some plotpoints, as usual Note that, for graphing, the decimal approximations are more useful than the "exact" forms For instance, it is hard to know where "e 225" should be plotted, but it's easy to find where "94" goes Note also that I calculated more than just wholenumber pointsFind an equation of the tangent line to the graph of y = ex2 at the point (5, 1/e25) y = ?
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Graph y=e^x2 y = ex 2 y = e x 2 Exponential functions have a horizontal asymptote The equation of the horizontal asymptote is y = 2 y = 2 Horizontal Asymptote y = 2 y = 2
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