Find and simplify the derivative of the following function. g(x) = e * (2x2 - 4x + 4) Which of the following shows how to find the derivative of g(x)? (2x² - 4x + 4) (2x² - 4x+4) ] + (e*)[ (e*)] g'(x) = OA. 2 (2x2 - 4x + 4) O B. gʻx) = (e*) (e*) + (2x² - 4x + 4) [ (2x² - 4x + 4) Oc. gʻk) = (e*)] (2x² - 4x + 4) + (e*) [ (2x² - 4x + -4x+4)(e*)] + (e*) ( 2 (e*)? O D. g'(x) =

Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

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A: We have to find derivative

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A: fx=8x-1x2+4x+7x3-5 On simplification, we get…

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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A: Derivative problem.....

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Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: Consider the following function. f(x) = (2x + 6)5 (a) Make a sign diagram for the first derivative.…

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Q: Find the derivative of f(x) = (5x ² - 8 x) 5 4 f(x) =

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