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Find the derivative of (x^3cot(x^2)*2)/(1+e^(2x))

\frac{d}{dx}\left(\frac{2x^3\cdot \cot\left(x^2\right)}{1+e^{2x}}\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\frac{2x^3\cdot \cot\left(x^2\right)}{1+e^{2x}}\right)$

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Answer

$\frac{2\left(e^{2x}+1\right)\left(3x^{2}\cot\left(x^2\right)-2\csc\left(x^2\right)^2x^{4}\right)-4x^3e^{2x}\cot\left(x^2\right)}{\left(e^{2x}+1\right)^2}$

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$\frac{d}{dx}\left(\frac{2x^3\cdot \cot\left(x^2\right)}{1+e^{2x}}\right)$

Main topic:

Differential calculus

Used formulas:

7. See formulas

Time to solve it:

0.34 seconds