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

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

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Answer 1 · 2015-04-02T16:32:58

I would use the Chain Rule, deriving ${()}^{4}$ $()^4$ first and then $tan$ $tan$ as:
$4 {tan}^{3} (x) \cdot \frac{1}{{cos}^{2} (x)} = 4 \frac{{sin}^{3} (x)}{{cos}^{5} (x)}$ $4tan^3(x)*1/cos^2(x)=4sin^3(x)/cos^5(x)$

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

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