Solucionar sqrt{tan(cos(sin(θ)))/log(ln(θ))}

$$\sqrt{ \frac{ \tan ( \cos ( \sin ( \theta ) ) ) }{ \log ( \ln ( \theta ) ) } }$$

Calcular

$$\sqrt{\tan(\cos(\sin(\theta )))\log_{\ln(\theta )}\left(10\right)}$$

Diferenciar w.r.t. θ

$$\frac{\sqrt{\frac{2\ln(10)}{\ln(\ln(\theta ))\sin(2\cos(\sin(\theta )))}}\left(-\theta \ln(\theta )\cos(\theta )\sin(\sin(\theta ))\cos(\cos(\sin(\theta )))\left(\ln(\ln(\theta ))\cos(\cos(\sin(\theta )))\right)^{\frac{3}{2}}-\theta \ln(\theta )\cos(\theta )\ln(\ln(\theta ))\sin(\sin(\theta ))\left(\sin(\cos(\sin(\theta )))\right)^{\frac{3}{2}}\sqrt{\frac{\ln(\ln(\theta ))\sin(2\cos(\sin(\theta )))}{2}}-\cos(\cos(\sin(\theta )))\sqrt{\ln(\ln(\theta ))\cos(\cos(\sin(\theta )))\left(\sin(\cos(\sin(\theta )))\right)^{2}}\right)}{2\theta \ln(\theta )\left(\ln(\ln(\theta ))\cos(\cos(\sin(\theta )))\right)^{\frac{3}{2}}}$$