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Derive the function 3/(ln((sin(x)-1cos(x))^0.5)) with respect to x

\frac{d}{dx}\left(\frac{3}{\ln\left(\sqrt{\sin\left(x\right)-\cos\left(x\right)}\right)}\right)

Step by step solution

Problem

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

Show full step-by-step solution

Answer

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

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

0.63 seconds