# How do you differentiate #(sqrt x)(x^2+3sinx)#?

##### 2 Answers

Using differentiate product rule

See explanation below

#### Explanation:

We know that in functions product, de derivative is (derivative of a product)

Thus we have (if

If we apply prior formula we have

#### Explanation:

Product rule is

Obviously we already have f(x) and g(x) so we just need to find the derivatives of both

f'(x)=

g'(x)=

To derive the 3sin(x) you would have to use product rule again where f(x)=3 and g(x)=sin(x), but remember the derivative of a plain number is zero, so all that's left of product rule is #f(x)*g'(x), which is just 3cos(x),remember the derivative of sin is cos.

Now just plug all the parts yo have into product rule to get: