Suppose g(t) = 3t^2 - 2. How to find and simplify g(x+h)-g(x)/h?

Question

Suppose g(t) = 3t^2 - 2. How to find and simplify g(x+h)-g(x)/h?

Answer 1

it's related to the derivative of g(x)

= 6t but also with an h term

(3(x+h)^2 -2 - 3x^2 +2)/(x+h -x)

= (3x^2 +6xh + h^2 -3x^2)/h

= 6x +h