Evaluating f(3) and f'(3)

Question

Suppose that y=5x+2 is the equation of the tangent line to the graph of y=f(x) at a=3. What is f(3) and f'(3)?

Answer 1

Greetings!

Lets solve this shall we?

Let f(x) = 5x + 2

at x = 3, we have f(3) = 5(3) + 2 = 17 right ? What happens when we take the first derivative of the function?

Then f ' (3) = 5 !

I hope this helped!