Question

How do you differentiate `5sinx+x^2`?

Answer 1

`d/(dx)5sinx+x^2=5cosx+2x`

Explanation:

Since the curve consists of two parts which are added together, they can be independently differentiated.

`d/(dx)5sinx=5cosx->`the derivative of `sinx` is `cosx`
`d/(dx)x^2=2x->`power rule

Adding the two together,

`d/(dx)5sinx+x^2=d/(dx)5sinx+d/(dx)x^2`

`=5cosx+2x`