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Calculus · DER

Chain Rule — Differentiate Composite Functions

[f(g(x))]' = f'(g(x)) · g'(x). Differentiate the outer function, leave the inner alone, then multiply by the inner's derivative.

CalculusCommon Core FUN-3.CDERVerified correct ✓

Worked examples

Find d/dx[cos(3x² + 1)].
Answer: -6*x*sin(3*x**2 + 1)

Find d/dx[sin(3x² + 0)].
Answer: 6*x*cos(3*x**2)

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