Calc2.27

From Exampleproblems

Find the derivative of $f(x)\,$ with respect to $x\,$ : $f(x)=x\sin x\,$

This is a product of two functions. If you know how to take the derivative of the functions separately, the product rule tells us how to take the derivative of their product.

$f'(x)=x\frac{d}{dx}(\sin x)+\frac{d}{dx}(x)(\sin x)\,$

$f'(x)=x\cos x+\sin x\,$