1) In Section 3.5, we learned that d ( tanx ) = sec ex by using the d x Quotient Rule and the Pythagorean identity. . use this methodology to prove the facts about the derivatives of this trigonometric function: d ( cotx ) = -csc2x olx 2.) use the Chain Rule to solve the derivative problem using the trigonometric function and rules of differentiation . . d ( s in x) = x