How do you differentiate $sin(x^4)$ ?

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Answer 1 · 2017-08-04T21:57:29

$4x^3cos(x^4)$

By the chain rule
$(sin(x^4))'=(x^4)'sin'(x^4)$

$=4x^3sin'(x^4)$ by the power rule

And since $sin'(x)=cos(x)$

$(sin(x^4))'=4x^3cos(x^4)$

How do you differentiate sin(x^4)sin(x^4)?