d. Find the value of [g-*(3)]'. Then, find the equation fo the line normal to the graph of g-+(x) at x = 3.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Need help for letter D pleasee

The table below shows values of differentiable functions, f(x) and g(x), and their derivatives at
selected values of x. Use the table of values below to answer each of the questions below.
f(x)
3
f'(x)
g(x)
2
g'(x)
a. Approximate the value of f'(1.5). Explain why your
answer is a good approximation of f'(1.5).
-1
2
3
-3
3
-2
10
4
-1
b. If B(x) = Vg(x), what is the equation of the tangent line drawn to B(x) when x = 1?
c. If A(x) = x² In(f (x)), what is the value of A'(2)? What does this result say about the behavior of
the graph of A(x) when x = 2? Give a reason for your answer.
d. Find the value of [g-'(3)]'. Then, find the equation fo the line normal to the graph of g-(x) at
x = 3.
Transcribed Image Text:The table below shows values of differentiable functions, f(x) and g(x), and their derivatives at selected values of x. Use the table of values below to answer each of the questions below. f(x) 3 f'(x) g(x) 2 g'(x) a. Approximate the value of f'(1.5). Explain why your answer is a good approximation of f'(1.5). -1 2 3 -3 3 -2 10 4 -1 b. If B(x) = Vg(x), what is the equation of the tangent line drawn to B(x) when x = 1? c. If A(x) = x² In(f (x)), what is the value of A'(2)? What does this result say about the behavior of the graph of A(x) when x = 2? Give a reason for your answer. d. Find the value of [g-'(3)]'. Then, find the equation fo the line normal to the graph of g-(x) at x = 3.
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