What is the derivative of $y = tan (x^{4})$ $y=tan(x^4)$ ?

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Answer 1 · 2018-03-15T15:28:53

$\frac{d}{d x} (tan (x^{4}))$ $d/dx(tan(x^4))$

$= \frac{\frac{d}{d x} (x^{4})}{{cos}^{2} (x^{4})}$ $=(d/dx(x^4))/cos^2(x^4)$

$= \frac{4 x^{3}}{{cos}^{3} (x^{4})}$ $=(4x^3)/cos^3(x^4)$

What is the derivative of y=tan(x4)y=tan(x^4)?