Find f"(x) f(x)= J3x-7

Q: Choose the rule that you would use to most efficiently find the derivative of the function. f(x) =…

A: Given f(x) = 8√x^3

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: 3x+4 3. f(x) = x2+3

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Q: 2. f(x) = 3. g(x) = 5 In x – 2* 4. g(x) = 4x³ log, x

A: To find the derivative of the given function. 2). Given function is fx=x2ex. Quotient rule of…

Q: Va2 -x2 y=Arcsin + 6. X

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Q: Use second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

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Q: 2. Use rules of differentiation to find the derivative of the function 5a° (x- +3) g(x) = x2 +1 Show…

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Q: Find all relative extrema of the function f(x) = x* – 4x2 + 2 by using the Second Derivative Test…

A: Given, The function  fx=x4-4x2+2 We have to find the all relative extrema of the function using the…

Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.

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Q: Find all relative extrema of the function f(x) = x* – 4r +2 by using | the Second Derivative Test…

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Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: Find the derivative of the function. Simplify where possible: y=tan^-1(x-sqrt(1+x^2))

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Q: Find the derivative. Simplify where possible.

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Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: 1. f(x)= Vx3 + 2x2 + 3

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Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: find the second derivative and simplify the final result 9. xArctanx - ln (square root of x^2 + 1)…

A: y=x tan-1x-lnx2+1

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: 3x+4 3. f(x) = x2+3 12 x3+6x2+3x 4. f(x) = 3x

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Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

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Q: The second derivative of a function is equal to 1. If the graph of the function passes through (0,2)…

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Q: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: What is the second derivative of the function:  f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by…

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Q: Find the derivative of the function two ways: by simplifying the function first and by using the…

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Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Choose the rule that you would use to most efficiently find the derivative of the function 3 f(x) =…

A: The given function,   f(x)=32-x3 The general rule of differentiation is ddxxn=nxn-1

Q: Find the derivative of the function by using thẻ Product Rule. Simplify your answer. f(x) = (Vx -…

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Q: Vx-3 6. f(x) = X-9

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Q: equation of the function f whose graph passes thro f'(x) = x/25 - x²

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Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: 5. ƒ(x) = (x²+x−3)√√x²+x=3

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Q: derivative of function y=\sqrt[5]{x^4} is

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Q: Find the derivative of y = arctan(x² + 3)

A: To find: The derivative of y=tan-1x2+3. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: f(x) = (6x – 7)(2x + 3) %3D

A: Given  f(x)=(6x-7)(2x+3)

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: X-2 %3D

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Q: Find the derivative of f(x)= 11x^2 at x=1 please use definition of derivative formula

A: Given :   y = 11x2    at x =1

Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

Q: Use the fact that the derivative of the function f(x) =- is f'(x) = to find the equation of the…

A: We need to find the equation of tangent to the graph of f(x).

Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx