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Differentiation

Differentiation

English-help

Differentiate tan(5x^2+3)

Reply 1

English-help

Would it be 10xsec^2 (5x^2+3)

Reply 2

Cryptokyo

@English-help
Use chain rule.

u=5x^{2}+3

\frac{du}{dx}=10x

y=\tan(u)

\frac{dy}{du}=\sec^{2}(u)

\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}=10x\sec^{2}(u)=10x\sec^{2}(5x^{2}+3)

Reply 3

Cryptokyo

Original post by English-help

Would it be 10xsec^2 (5x^2+3)

You are correct.

Quick Reply

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