How do you take the derivative of ${tan}^{4} (x)$ $tan^4 (x)$ ?

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Answer 1 · 2015-07-07T22:58:44

We know the given function can be rewritten as

$y = {tan}^{4} (x)$ $y=tan^4(x)$ = $({(tan (x))}^{4})$ $((tan(x))^4)$
so upon applying chain rule

$y'=4((tan(x))^(4-1)).(sec^2(x))$

recall derivative of
$tan(x) =sec^2(x)$

so,
$y'=4((tan(x))^3).(sec^2(x))$

cheerio

How do you take the derivative of tan^4 (x)tan4(x)tan^4 (x)?