Question

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

Answer 1

The derivative of a sum is the sum of the derivatives and the derivative of a constant multiple of a function is the constant times the derivative of the function.

Explanation:

For `f(x)=(x^2) + (3 ln x)`, the derivative is:

`f'(x) = d/dx(x^2) + d/dx(3lnx)`

`= 2x+3 d/dx(lnx)`

`= 2x+3(1/x)`

`= 2x+3/x` or, if you prefer a single ratio:

`= (2x^2+3)/x`