The table below gives values of f, f', g, and g' for selected values of x. If h (x) = f (g (x)), what is the value of h' (1)?f(x)f'(x)g(x)g'(x)-2-69.-101615-33-23783

The given table is as follows - We also have that h(x) = f(g(x)). We have to find the value of…

Answered: The table below gives values of f,f',g,…

The table below gives values of f,f',g, and g' for selected values of x. If h (x) = ƒ (g (x)),what is the value of h' (1)? f(x) f'(x) g(x) g'(x) -2 -6 -10 16 1 5 -3 3 -2 7 8 3

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

The table below gives values of f, f', g, and g' for selected values of x. If h (x) = f (g (x)), what is the value of h' (1)?
f(x)
f'(x)
g(x)
g'(x)
-2
-6
9.
-10
16
1
5
-3
3
-2
3
7
8
3

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