Question

find derivative of above

Answer 1

f'(x)=3cos3x+3sin3x.

Answer 2

➡HERE IS YOUR ANSWER⬇

f(x) = sin3x - cos3x .....(i)

Now, differentiating both sides of (i) with respect to x, we get '

f'(x) = 3cos3x + 3sin3x

= 3 (cos3x + sin3x)

Rules :

$\frac{d}{dx} (sin \alpha x) = \alpha cos \alpha x \\ \\ and \\ \\ \frac{d}{dx} (cos \alpha x) = - \alpha sin \alpha x$

⬆HOPE THIS HELPS YOU⬅