This free differentiability worksheet helps AP Calculus AB students decide where a function is differentiable and why a derivative can fail to exist. The 12-page printable PDF covers one-sided difference quotients, classifying corners, cusps, vertical tangents and discontinuities, and the link between differentiability and continuity.
Students also find one-sided derivatives using the limit definition, test piecewise functions, find constants that make functions differentiable, and explore local linearity and numerical derivatives. An AP-style problem, mixed review, a challenge problem and a graphing challenge make it ideal for Unit 2 classwork, homework or AP exam review.
Filename:
differentiability-worksheet.pdf
File Type:
pdf
Categories:
AP Calculus AB
