Consider the function for all where

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Consider the function p(x)=sin⁡5x1−cos⁡5xp(x)=\dfrac{\sin 5x}{1-\cos 5x} for all xx where 1−cos⁡5x≠01-\cos 5x\neq 0. Which of the following equals p′(x)p'(x) after all algebraic simplifications? (a) −51+cos⁡5x-\dfrac{5}{1+\cos 5x} (b) 51−cos⁡5x\dfrac{5}{1-\cos 5x} (c) −51−cos⁡5x-\dfrac{5}{1-\cos 5x} (d) −11−cos⁡5x-\dfrac{1}{1-\cos 5x}

Related theory

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