Question

Find nth derivative of sin cube x

Answer 1

As we know that y = sin3x

Now we are differentiation with respect to “X”

 Yʹ= d/dx (sin3x)

Thus Yʹ= 3sin2x. d/dx sinx

Finally, we got it first derivative Yʹ= 3sin2x.cosx

And if you want to find the nth derivative. we need to perform differentiation till the nth term.

It is a first derivative .and we will be find second derivative and also find the third derivative respectively. We observe if that a pattern is followed from first derivative to the third one. So, we can say that this pattern should be followed till the nth derivative.