Giải 1-cosx/(sqrt{1+x-1)(ln(1+x^2)}

$$\frac { 1 - \cos x } { ( \sqrt { 1 + x } - 1 ) ( \ln ( 1 + x ^ { 2 } ) }$$

Tính giá trị

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

Lấy vi phân theo x

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