d/dxleft(cos(x^sin(x))right) を解きます| Microsoft 数学ソルバー

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

計算

$$-\sin(x^{\sin(x)})x^{\sin(x)-1}\left(x\ln(x)\cos(x)+\sin(x)\right)$$

x で微分する

$$x^{\sin(x)-2}\left(-\cos(x^{\sin(x)})x^{\sin(x)+2}\left(\ln(x)\cos(x)\right)^{2}-\sin(x^{\sin(x)})\left(x\ln(x)\cos(x)\right)^{2}-\left(\sin(x)\right)^{2}x^{\sin(x)}\cos(x^{\sin(x)})-\ln(x)\sin(2x)\cos(x^{\sin(x)})x^{\sin(x)+1}+x^{2}\ln(x)\sin(x)\sin(x^{\sin(x)})-x\ln(x)\sin(2x)\sin(x^{\sin(x)})-\left(\sin(x)\right)^{2}\sin(x^{\sin(x)})-2x\cos(x)\sin(x^{\sin(x)})+\sin(x)\sin(x^{\sin(x)})\right)$$