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Find the derivative of (3(1-1sin(x)))/(2cos(x))

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

Step by step solution

Problem

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

Show full step-by-step solution

Answer

$\frac{2\frac{d}{dx}\left(3\left(1-\sin\left(x\right)\right)\right)\cos\left(x\right)-3\frac{d}{dx}\left(2\cos\left(x\right)\right)\left(1-\sin\left(x\right)\right)}{4\cos\left(x\right)^2}$

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

Main topic:

Differential calculus

Used formulas:

1. See formulas

Time to solve it:

0.29 seconds