Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: Find  f ′(a)  f(x) = 2x4,    a = −1

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Q: Let ​F(x)=x2− 2 and G(x)=13−x.   Find ​(F•​G)(10​)

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Q: find the inflection points of f(x) = (x-2)4/3

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Q: Of (x) = (4x-6x* + 4 3 3 Of (x) = x* – 2x³ + 5 Of (x) = x* – x³ +4 6 ,3 %3D f (r) – 2r4 6r3 1 8

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Q: Given that f(x) = x² + 1x and g(x) = x + 5, calculate (f o g)(x) or f(g(x))

A: We have to find composition function

Q: Find  f (n)(x).   f(x)  = 2x

A: Given that f(x)=2x

Q: b) h(x) - 13 — 2х - х?). c) h(x) = V3 - x 5, d) h(x) = Vx³ + 4x2 + 1.

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Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

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Q: f(x)=xnex

A: f(x)=xn exThe doamin of the function is when n is even and odd is x∈ℝand the range of the function…

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: F(x) = 2ln(x). What is F′(2)?

A: we have to find derivative of f(x) at x=2where f(x) is given by