Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given below: (A) h(æ) = 6f(x). h'(2) : -36 (B) h(x) = -59(x). h'(2) = (C) h(x) = 8f(x)+ 139(x). h'(2) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each
function h given below:
(A) h(æ) = 6f(x).
h'(2) = -36
(B) h(x) = -59(x).
h'(2) =
(C) h(x) = 8f(x) + 13g(x).
h'(2) =
(D) h(x) = 12g(x) – 11f(x).
h'(2) =
%3D
(E) h(x) = 10f(x) + 9g(x) – 2.
h'(2) =
(F) h(x) = – 10g(x) – 3f(x) – 2x.
h'(2) =
Transcribed Image Text:Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given below: (A) h(æ) = 6f(x). h'(2) = -36 (B) h(x) = -59(x). h'(2) = (C) h(x) = 8f(x) + 13g(x). h'(2) = (D) h(x) = 12g(x) – 11f(x). h'(2) = %3D (E) h(x) = 10f(x) + 9g(x) – 2. h'(2) = (F) h(x) = – 10g(x) – 3f(x) – 2x. h'(2) =
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