Letf, g be functions. Suppose we know that ƒ(−6) = 4, ƒ' (−6) = −4, g(−6) = −4, g′(−6) = −3. Using the above information, compute h' (-6) where h(x) = (ƒ(x))² g(x). h'(-6)= Number

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Letf, g be functions. Suppose we know that
ƒ(−6) = 4, ƒ'(−6) = −4, g(−6) = −4, g′(−6) = −3.
Using the above information, compute h' (-6) where h(x) = (f(x))² g(x).
h'(- 6) = Number
Transcribed Image Text:Letf, g be functions. Suppose we know that ƒ(−6) = 4, ƒ'(−6) = −4, g(−6) = −4, g′(−6) = −3. Using the above information, compute h' (-6) where h(x) = (f(x))² g(x). h'(- 6) = Number
Expert Solution
Step 1: Given the information

The given function and derivative values,

f open parentheses negative 6 close parentheses equals 4 comma space f apostrophe open parentheses negative 6 close parentheses equals negative 4 comma space g open parentheses negative 6 close parentheses equals negative 4 comma space g apostrophe open parentheses negative 6 close parentheses equals negative 3.

The aim is to find the value of h apostrophe open parentheses negative 6 close parentheses where h open parentheses x close parentheses equals open parentheses f open parentheses x close parentheses close parentheses squared g open parentheses x close parentheses.

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