MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
The notation f(5)(t) appears in a solution. Which statement best describes what this symbol represents?
(a) It is the fifth iterate of f applied to t, i.e. f(f(f(f(f(t))))).
(b) It is the fifth power of f evaluated at t, i.e. [f(t)]5.
(c) It is the fifth derivative of f with respect to t, evaluated at the value t.
(d) It is the derivative of f with respect to t raised to the fifth power, i.e. [f′(t)]5.