(a) State the two standard trigonometric limits that are fundamental to finding the…
MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
(a) State the two standard trigonometric limits that are fundamental to finding the derivatives of sinx and cosx.
(b) Explain, without carrying out the full algebraic proof, why the first of these limits guarantees that the derivative of sinx at any point equals cosx.
(c) Briefly describe how the second limit is used in obtaining the derivative of cosx and name the final result.