The sequence of successive derivatives of eventually repeats the original function
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
The sequence of successive derivatives of g(x)=sinx eventually repeats the original function. Which of the following gives the smallest positive number of derivatives after which this repetition always occurs?
(a) 2
(b) 4
(c) 2π
(d) 3