Question

Find the derivative of f(x) = 4x + 7 at x = 5.

Answer 1

dy/dx 4x + dy/dx 7

Answer 2

4+0 = 4

so f'(5) =4

Answer 3

meaning that f(x) is a linear function. With same slope aka speed at all times and no acceleration. that speed and slope being 4

at 5 it is 4 and actually at any x the slope aka speed is 4