The expression f(a+h)-f(a)/h is called the

Question

a)instantaneous rate of change of f at a

b) difference quotient of f at a

c)definition of f'(a)

d)secant line of f at a

 

I tried a) and c) but they're wrong.

 

What is it supposed to be?

Answer 1

If (a, f(a)) and (a+h, f(a+h)) are two points on the graph of y = f(x), then (f(a+h)-f(a))/h is a difference quotient.