What is the derivative of $tan (e^{5 - 2 x})$ $tan(e^(5-2x))$ ?

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What is the derivative of $tan (e^{5 - 2 x})$ $tan(e^(5-2x))$ ?

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Answer 1 · 2016-03-07T16:12:50

${sec}^{2} (e^{5 - 2 x}) \cdot e^{5 - 2 x} (- 2)$ $sec^2(e^(5-2x))*e^(5-2x) (-2)$

Explanation:

${sec}^{2} (e^{5 - 2 x})$ $sec^2(e^(5-2x))$ -> derivative of tan while keeping the inside the same
$e^{5 - 2 x}$ $e^(5-2x)$ -> derivative of e^u
$- 2$ $-2$ ->derivative of u

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What is the derivative of $tan (e^{5 - 2 x})$ $tan(e^(5-2x))$ ?

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What is the derivative of $tan (e^{5 - 2 x})$ $tan(e^(5-2x))$ ?