Question The derivative $f'(a)$ represents the instantaneous rate of change of $f(x)$ at $x=a$. This is the slope of the tangent line to $f(x)$ at $(a, f(a))$. True or False?

Studdy Solution
Therefore, the statement "The instantaneous rate of change is the slope of the secant line to $f(x)$ at the point $(a, f(a))$" is false. The correct statement should be "The instantaneous rate of change is the slope of the tangent line to $f(x)$ at the point $(a, f(a))$".
The answer is False.