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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON