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  3. ZuAI AP College Board Calculus AB/BC
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Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

Abigail Young

Abigail Young

6 min read

Next Topic - Differentiation: Composite, Implicit, and Inverse Functions
Study Guide Overview

This study guide covers derivatives of advanced trigonometric functions, specifically tan(x), cot(x), sec(x), and csc(x). It provides a quick reference table of the derivatives, detailed examples, mnemonics, common mistakes, practice problems, and final exam tips. The guide emphasizes the importance of radians, the chain rule, and simplifying trigonometric expressions before differentiating.

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Previous Topic - The Quotient RuleNext Topic - Differentiation: Composite, Implicit, and Inverse Functions

Question 1 of 11

What is the derivative of f(x)=2sec⁡(x)f(x) = 2\sec(x)f(x)=2sec(x)? 🚀

2\sec(x)\tan(x)

−2csc⁡(x)cot⁡(x)-2\csc(x)\cot(x)−2csc(x)cot(x)

2\sec^2(x)

−2sec⁡(x)tan⁡(x)-2\sec(x)\tan(x)−2sec(x)tan(x)