Does the derivative of a number equal slope?

Question

M = Slope, delta y/ delta x, dy/dx...is it all slope?

Answer 1

dy/dx @x=a is the slope at the point x = a. If the function is just a number, the derivative is zero and the slope is zero. The quantity ∆y/∆x approximates the slope, but is equal to the slope only when y is a linear function of x (y=a*x+b). The ratio ∆y/∆x approaches the true slope value as ∆x gets smaller. In the limit ∆x -> 0, this equals the slope; it is also the definition of the derivative.

Answer 2

the derivative of a number is always zero (since numbers are constants).if y is a function of x, dy/dx is the slope

Answer 3

Yes...