AP Calculus AB 2.10 Reciprocal Trig Derivative Review

Review AP Calculus AB 2.10 by connecting reciprocal trigonometric identities with derivative rules, then practise choosing and simplifying the correct formula.

Exam points

differentiate reciprocal trigonometric functions using equivalent forms
simplify signs and factors in tangent, cotangent, secant and cosecant derivatives

Covered syllabus points

FUN-3.B—Calculate derivatives of products and quotients of differentiable functions—Topic 2.10

[Maximum number: 1]

If $f(x)=\sec x \tan x$ , then $f^{\prime}(x)=$

$\sec ^{3} x+\sec x \tan ^{2} x$

$2 \sec ^{2} x \tan x$

$\sec ^{3} x \tan x$

$\sec x$

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Covered syllabus points

2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions question 1