How do you differentiate #f(x)= (x^3+2x+1)*sqrtsinx# using the product rule?
The product rule is:
#f'(x) = g'(x) * h(x) + g(x) * h'(x)#
In your case,
So, let's compute the derivatives of
To build the derivative of
Now, the only thing left to do is use the product rule: