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Find the derivative of ln(sin(x))sin(cos(x))

\frac{d}{dx}\left(\ln\left(\sin\left(x\right)\right)\cdot\sin\left(\cos\left(x\right)\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(\sin\left(x\right)\right)\cdot\sin\left(\cos\left(x\right)\right)\right)$

Show full step-by-step solution

Answer

$\frac{\frac{d}{dx}\left(\sin\left(x\right)^{\sin\left(\cos\left(x\right)\right)}\right)}{\sin\left(x\right)^{\sin\left(\cos\left(x\right)\right)}}$
$\frac{d}{dx}\left(\ln\left(\sin\left(x\right)\right)\cdot\sin\left(\cos\left(x\right)\right)\right)$

Main topic:

Differential calculus

Used formulas:

1. See formulas

Time to solve it:

0.23 seconds