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Derive the function (2(1-1sin(3x)))/(3cos(3x)) with respect to x

\frac{d}{dx}\left(\frac{2\left(1-\sin\left(3x\right)\right)}{3\cos\left(3x\right)}\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\frac{2\left(1-\sin\left(3x\right)\right)}{3\cos\left(3x\right)}\right)$

Show full step-by-step solution

Answer

$\frac{18\left(1-\sin\left(3x\right)\right)\sin\left(3x\right)-18\cos\left(3x\right)^2}{9\cos\left(3x\right)^2}$

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$\frac{d}{dx}\left(\frac{2\left(1-\sin\left(3x\right)\right)}{3\cos\left(3x\right)}\right)$

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

0.3 seconds