What is the derivative of $f (x) = tan (2 x^{2})$ $f(x) = tan( 2x^2 )$ ?

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Answer 1 · 2015-12-30T15:54:35

$4 x {sec}^{2} (2 x^{2})$ $4xsec^2(2x^2)$

Using the rule $\frac{d}{d x} tan [u (x)] = {sec}^{2} [u (x)] \cdot \frac{d u}{d x}$ $d/dxtan[u(x)]=sec^2[u(x)]*(du)/(dx)$ .

$therefored/dxtan(2x^2)=sec^2(2x^2)*(4x)$

What is the derivative of f(x) = tan( 2x^2 )f(x)=tan(2x2)f(x) = tan( 2x^2 )?