(a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the value of ƒ(2.1). (c) Suppose you are told that ƒ"(2) < 0. Does this lead you to believe that your estimate in Part (b) is too high or too low? Explain.

Q: Suppose that f(x) is a function with f(155)=70 and f′(155)=1. Estimate f(157

A: topic -  line and differentiation

Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

A:

Q: Suppose y = L(x) = ax+b (with a 0) is the equation of the line tangent to the graph of a one-to-one…

A: Topic: Geometry

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A: Here we have given a composition of a function as given below.

Q: Show that if ƒ (z) = C where C is a constant, then f (s) = C/s for 8 > 0.

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A: The given first derivative function is

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A: given  F''(x)=Ax+BF'(1)=r and  F(1)=sF'(x)=∫(Ax+B)dx∫xndx=xn+1n+1+c

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A:

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(2) and F(7) 7 + Hu…

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A: Here, note that  f-1'(x)=1f'x Because let g be the inverse of f then…

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: