f(x) = sin(6x). f'(x) =
A) 6 cos(6x)
B) cos(6x)
C) 6 cos(x)
D) 6 sin(6x)
E) sin(6x)

Name: f(x) = sin(6x). f'(x) = A) 6 cos(6x) B) cos(6x) C) 6 cos(x) D) 6 sin(6x) E) sin(6x)
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Question

Quizplus · Accepted Answer

Using the chain rule, we first take the derivative of the inside function, which is 6x: 
F1(x) = 6 
Then, we take the derivative of the outside function, which is sin(6x) with respect to the inside function: 
F1S1(x) = cos(6x)*6 = 6cos(6x) 
Therefore, f F1F1F1S1F1F1F10(x) = 6cos(6x).

F(x) = Sin(6x). F'(x) =