The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 s xS 9.) y 4 y= f(x)

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: Find the requested higher-order derivative for the given function. d3y of y = x" - sec(x) dx3

A: Given that y=x11-secx and we have to find third order derivative of y with respect to 'x' that is…

Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

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Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which…

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

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Q: 2) Find the first derivative: a) y = cot * (3x² +7)

A: Differentiate wrt x

Q: The derivative of the function f(x) = elan(=) + Ve is

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Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: Find the derivative of the function. S(2) = VE - 8E f (x) =

A: topic - derivative of a function

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: Find the derivative of the given function. y = x² sin 'x+x cos 4x

A: For     y=fx gx    dydx=fx ddxgx+gxddxfx   This is the multiplication rule of derivative .

Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: Find the derivative of f(h(x))?  What is the slope of the tan line at x=0.  f'(x)=(3x^2)+3 h(x)=2x+1

A: Given function

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

A:

Q: Let f be the function defined for x > 0, with f (e) = 2 and f', the first derivative of f , given by…

A: Given, f be a function defined for x>0 and the derivative of f is f'x=x2lnx Point e, 2

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 derivative with respect to x if f(x) = e 2x %3D The derivative with respect to x if f(x) =…

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Q: Find the derivative of the given functions: 2. f(x) = rcos(rx) – 6 sec(x) + 3

A: Given that, f(x)=rcos(rx)-6secx+3When r=4we have,f(x)=4cos(4x)-6secx+3

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: The derivative of y = e sin(x) sin2(x) can be written as y cos(x)g(x), Determine the value of g(x)…

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Q: Find the derivative of the given function. 2 y = x sin x+x cos -3 dx

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Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

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Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: find the derivative. y = cos−1(x2)

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Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: Find the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) - h (x) =…

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the derivative of the function. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

Q: Find the indicated derivative of the function. d³y for y = 3x sin x

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: What is the first derivative with respect to x of the function g(x) = 3/9 9. O 1/2

A:

Q: Q2: - Find the second derivative of the following function at x = 2 1) y=+ V

A: ddx1x = -1x2 ddxxn = nxn-1 ddxx =12x

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

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Q: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

Q: Suppose y is a function of x. Find the derivative (dy/dx) of the function.

A: We have to find the derivative of the given function   The given function is   x2y2=x2-y23

Q: Find the derivative of y with respect to the given independent variable. e* cos' x (1) y= x+1

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find f’ (x), i.e. the first derivative of the question below f (x) = (x - 4) (x – 1)

A: Topic:- derivatives