Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) f(x) = f(x) = 2X/x2 + 1   relative maximum(x, y)=            relative minimum(x, y)=

Q: The derivative of the function y = (10e* – 10x*)(tan x) is: a. y' = (e* – 40x3) tan x + (10e* –…

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Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Given f(x)= (x^2)/(x^2-4) a) Find the derivative b) Find the critical points

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Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: Find the derivative of y with respect to x. (Hint: chain rule) y = -csc-1 24 V(8x + 92 - 9 24 (8x +…

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Q: A graph of y = f(r) is shown. In the same coordinate system, sketch a graph of the derivative…

A: To draw the graph of the derivative of the function

Q: Some values of adifferentiable function f and its derivative are given below. 2. 4. 15 13 10 6.…

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Q: Find the derivative of the function y = etan(e) y' =

A: Explanation of the answer is as follows

Q: Find derivative of the i function y = x*

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Q: Use the graph of the first derivative function f'(x) to find x values at which function has relative…

A: First of all, consider the graph of f '(x).

Q: Given the function f(x) = (x-4)2 + (y-5)2 (i) Find the critical points.  (ii) Using the second…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If…

A: Differentiate the function fx=xx2+1 with respect to x, to obtain f'(x) and f''(x).…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If…

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Q: Find the first three derivatives of y = x(In x)³

A: given problem :y=xlnx3

Q: Find the derivatives of the functions y = z sec-1 z - √z2 - 1, z > 1

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: Find the critical points of the following function. Use the Second Derivative test to determine (if…

A: Given: z=fx,yz=x2+10xy+y2-----------------------Aim: To find each critical points corresponding to…

Q: f(x,y) = 2y3–3y² – 12y+2x2 – 4x+2.

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Q: Find the critical points of the function. Then use the second derivative test to classify the nature…

A: Introduction: If the critical point of the function fx,y is a,b. then fx,y has local minima at a,b…

Q: Find the derivative of y with respect to x. y= csc^-1 (x^2+1) , x>0

A: Given ,

Q: gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the…

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Q: given the function f(x) = (x+4)^2 + (y-2)^2 (i)find the critical points (ii)using the second…

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Q: Shows the derivative function of: u³ + 2u, where u = x² + 3

A: Let's find.

Q: Find the x value(s) for any relative extrema. Use the Second Derivative Test to determine if this is…

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Q: • Find f (x) of f(x)= by using the definition of the x-1 derivative. • 1- Find if y=3t-4 and t Vx+…

A: we have to find the derivative using definition. as per definition  f'(x)=limh→0f(x+h)-f(x)h

Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

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Q: The first derivative of a continuous function y=f(x) is given, find y’’ and then sketch the general…

A: Our objective is to find y'', and then sketch the general shape of the graph of  f.

Q: Find the derivatives of the functions y = (1 + x2) etan-1 x

A: Product rule (uv)'=u'v+uv' ddxxn=n xn-1ddxex=exddxtan-1x=11+x2

Q: 2. (x² – y²)³ = 3a*x? %3D

A: The given equation is x2-y23=3a4x2 We have to find the derivative of y with respect to x. In this…

Q: Find the relative extrema of f(x) = 9 + 30x – 5x? using both first and second derivative tests. f(x)…

A: Derivative one time and equate it to zero to find the critical point. Derivative second to find the…

Q: y = e* arctan x y = arccsc (e*) ICCSC

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Q: a)Use the second derivative test to determine whether the function has a local maximum or local…

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Q: Find the critical point of the function. Then use the Second Derivative Test to determine whether it…

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Q: Find the critical points for the following function. Then use the second derivative test to…

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Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

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Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

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Q: 04:- Use the Chain rule to find the derivative ) of z = 3x2 - 2 xy y and If x=x (u, v) = 3u + 2v and…

A: Please refer to the image below.

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitable chosen integral near a= 0.11 at which the below function and…

Q: Find the relative extrema of f(x) = 2+ 90r 5x using both first and second derivative tests. f(x) has…

A: We can find the relative extremum as below

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To determine the linearization for the function.

Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: consider a continuous function y=f(x) whose first derivative is y'=x(x- 2).

A: We can find the interval as below.

Q: A differentiable function has the value y(1) = 4 and the derivative value y'(1) = -2. Approximate…

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Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is a parabolic graph and…

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: The given function is fx=1+x. The derivative of the function is, f'x=1. At point a = 8.1,…

Q: Find y'' by implicit differentiation. x2 + 4y2 = 4 y'' =

A: The detailed solution is as follows below:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If…

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Q: Q 1. a) Let y = x® – 5x³ + 5x* – 10. Then find minimum and maximum values. b). By using definition…

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