AP Calculus ABChapter 16 of 46
Derivatives of Inverse Functions
Not yet publishedplanned runtime 11–15 min
Reflecting a graph across y = x flips every slope into its reciprocal — and arcsin's derivative comes out, strangely, algebraic.
What this chapter covers
- use g'(x) = 1/f'(g(x)) for inverse functions
- derive the derivatives of arcsin, arccos, and arctan
- explain why inverse trig derivatives contain no trig