Given f(x)=x(x-3)+4, what is the derivative, of f at a?

Question

Given f(x)=x(x-3)+4, what is the derivative, of f at a?

Answer 1

The derivative of f(x) is f'(x) = 2x-3.

To find the derivative of f(x) at a, we simply need to substitute a for x in the derivative equation:

f'(a) = 2a - 3.

Therefore, the derivative of f(x) at a is 2a - 3.