Given y = f(u) and u = g(x), find dy/dx = f(g(x))g(x).
-y = sin u, u = cos x
A) - cos x sin x
B) cos x sin x
C) sin(cos x) sin x
D) - cos(cos x) sin x

Name: Given y = f(u) and u = g(x), find dy/dx = f(g(x))g(x). -y = sin u, u = cos x A) - cos x sin x B) cos x sin x C) sin(cos x) sin x D) - cos(cos x) sin x
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Question

Quizplus · Accepted Answer

Using chain rule, we get:
dy/dx = dy/du * du/dx
dy/dx = cos u * (-sin x)    (since u=cos x)
dy/dx = cos(cos x) * (-sin x)
dy/dx = -cos(cos x) * sin x
Therefore, the correct answer is D.

Given Y = F(u) and U = G(x), Find Dy/dx