Calculus problem any help would be great thank you!

Question

I need to find the derivative of f(x)=3x+4 at (16,4) . I'm just not sure how to go about setting up this question. It says I don't need to find f inverse

Answer 1

The derivative of a function is basically just the slope of a line drawn tangentially to that function at a point along the curve of the function graph. Since this is a linear function, it has a constant slope (in this case that slope is 3), so the derivative at any of the points along its curve would be equal to 3.