How do you differentiate y=3e^4sinθ?

1 Answer
mason m
Feb 23, 2016

3e^4costheta

Explanation:

There are two important things to recognize here:

  • 3e^4 is just a constant, which can be brought out of the differentiation.
  • The derivative of sintheta is costheta.

So, we have

y'=d/(d theta)(3e^4sintheta)=3e^4d/(d theta)(sintheta)=color(red)(3e^4costheta

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