Last updated on Oct 23, 2026

Chain Rule (Leaving Cert Mathematics): Flashcards

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Revision Notes Model Answers Quizzes Flashcards Exam Questions

Trigonometric Functions

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$\frac{d}{dx}[\sin(x)]$

$\cos(x)$

$\frac{d}{dx}[\cos(x)]$

$-\sin(x)$

$\frac{d}{dx}[\tan(x)]$

$\sec^2(x)$

Rule needed for differentiating composite trig functions like $\sin(g(x))$

Chain rule

First step when applying chain rule to trig functions

Identify inner and outer functions

How to apply chain rule

Multiply derivatives: $u' \cdot v'$

Rewrite $\sin^2(x)$ as

$(\sin(x))^2$

General form for powers of trig functions

$\sin^n(x) = (\sin(x))^n$

Derivative of $\cos(7x-3)$

$-7\sin(7x-3)$

Derivative of $\sin^2(5x+2)$

$10\sin(5x+2)\cos(5x+2)$

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Product Rule & Quotient Rule

Chain Rule

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Product Rule & Quotient Rule

Chain Rule

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Product Rule & Quotient Rule

Chain Rule

Explore Leaving Cert Mathematics Exam Questions by Topics

Product Rule & Quotient Rule

Chain Rule

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