(b) Use the definition in (a) to compute f'(2) for the function f(x)

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A:

Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Fnd f'Ce) of the fallowing functien. f Cx)

A:

Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: Let f(x) = g(x) h(x) and consider the following table of values: The value of f' (-9) is Number…

A:

Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

A:

Q: vertical asymptote(s): horizontal asymptote(s):

A: Since multiple subparts are asked, I am answering first 3 subparts

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: Let f(x) = ∥x∥. Find out its conjugate function f ⋆ and prove your conclusion.

A:

Q: Differentiate the function   f(x) =    5  - 1 /x

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Q: Sketch the graph of a function f for which f ' (2)=-1

A: Given that the graph of a function f should have a condition f'2=-1. There are many graphs possible.…

Q: Evaluate f''(c) at the point. f(x) = (x2 - 5)(x3- 5), c = 1

A:

Q: Calculate f"'(-1) for f(x) = 3x 5 - 2x 2 + 1x- 2 .

A: Consider the given function, fx=3x5-2x2+1x-2 here the objective is to find the value of the third…

Q: Help find a function f so that f ‘(x) = 3x2+ 2x+5 and f (1) = 10

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Q: assume f I g(x) = 1/x+2 if g(x)=x+2, find the function f(x)

A: