Given the function y = Select one alternative: dy dx dy dx dy dx dy f(g(x)) h(x) which of the following is f'(x)g(x) + f(x)g (x) h'(x) - f'(g(x))h(x) — f(g(x))h'(x) (h(x))² (7/ dy dx (ƒ'(x)g(x) + f(x)g'(x))h(x) — f(g(x))h'(x) (h(x))² f'(g(x))g'(x)h(x) — f(g(x))h'(x) .?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Question
Given the function y =
Select one alternative:
dy
dx
dy
dx
dy
dx
=
=
f(g(x))
h(x)
||
dy
which of the following is
?
dx
f'(x)g(x) + f(x)g (x)
h'(x)
f'(g(x))h(x) – f(g(x))h'(x)
(h(x))²
(f'(x)g(x) + f(x)g'(x))h(x) — f(g(x))h'(x)
(h(x))²
dy f'(g(x)) g(x)h(x) = f(g(x))h'(x)
dx
(h(x))²
Transcribed Image Text:Given the function y = Select one alternative: dy dx dy dx dy dx = = f(g(x)) h(x) || dy which of the following is ? dx f'(x)g(x) + f(x)g (x) h'(x) f'(g(x))h(x) – f(g(x))h'(x) (h(x))² (f'(x)g(x) + f(x)g'(x))h(x) — f(g(x))h'(x) (h(x))² dy f'(g(x)) g(x)h(x) = f(g(x))h'(x) dx (h(x))²
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