How do you differentiate #f(x)=sin(3x+1)# using the chain rule?

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How do you differentiate #f(x)=sin(3x+1)# using the chain rule?

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Answer 1 · 2015-11-13T00:35:54

I found: #3cos(3x+1)#

Explanation:

First you differentiate the #sin# as it is (in red) and then the argument (in blue) and multiply together:
So:
#f'(x)=color(red)(cos(3x+1))*color(blue)(3)=3cos(3x+1)#

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How do you differentiate #f(x)=sin(3x+1)# using the chain rule?

1 Answer

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