Differentiate $y = an^2 x$ with respect to $x$.

Question

Differentiate $y = 	an^2 x$ with respect to $x$.

Accepted Answer

$2	an x \sec^2 x$. Write $y = (	an x)^2$ and apply the chain rule: $\dfrac{dy}{dx} = 2	an x \cdot \dfrac{d}{dx}(	an x) = 2	an x \sec^2 x$. Treating $	an x$ like $x$ gives $2	an x$, and differentiating only the inner function gives $2\sec^2 x$.

Answer

A) $2\sec^2 x$

Answer

B) $\sec^4 x$

Answer

C) $2	an x \sec^2 x$

Answer

D) $2	an x$

Differentiate $y = \tan^2 x$ with respect to $x$.

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