Question

How do you use the product Rule to find the derivative of `f(x)=(x^2) + (3 ln x)`?

Answer 1

You don't need it for this. There are no nonconstant functions multiplying.

`f'(x) = d/(dx)[f(x)] = color(blue)(2x + 3/x)`

using the power rule on `x^2`:

`d/(dx)[x^2] = 2*x^(2-1) = 2x`

and differentiating `lnx`. You can float `3` out of the derivative:

`d/(dx)[3lnx] = 3d/(dx)[lnx] = 3*1/x = 3/x`