frac{7sqrt{4sin^2x-4sinx+1}}{2sinx-1}+frac{9sqrt{4cos^2x-4cosx+1}}{1-2cosx}+frac{sqrt{28x-16x^2-12}}{sqrt{7x-4x^2-3}} を解きます| Microsoft 数学ソルバー

$$\frac { 7 \sqrt { 4 \sin ^ { 2 } x - 4 \sin x + 1 } } { 2 \sin x - 1 } + \frac { 9 \sqrt { 4 \cos ^ { 2 } x - 4 \cos x + 1 } } { 1 - 2 \cos x } + \frac { \sqrt { 28 x - 16 x ^ { 2 } - 12 } } { \sqrt { 7 x - 4 x ^ { 2 } - 3 } }$$

計算

$$\frac{-14\cos(x)|2\sin(x)-1|+18\sin(x)|-2\cos(x)+1|+7|2\sin(x)-1|-9|-2\cos(x)+1|+4\sin(x)+4\cos(x)-4\sin(2x)-2}{\left(-2\cos(x)+1\right)\left(2\sin(x)-1\right)}$$

x で微分する

$$\frac{2\left(56\sin(x)sign(2\sin(x)-1)\left(\cos(x)\right)^{3}-72\cos(x)sign(-2\cos(x)+1)\left(\sin(x)\right)^{3}-56\sin(x)sign(2\sin(x)-1)\left(\cos(x)\right)^{2}+72\cos(x)sign(-2\cos(x)+1)\left(\sin(x)\right)^{2}-28|2\sin(x)-1|\left(\cos(x)\right)^{3}-28sign(2\sin(x)-1)\left(\cos(x)\right)^{3}+36sign(-2\cos(x)+1)\left(\sin(x)\right)^{3}-36|-2\cos(x)+1|\left(\sin(x)\right)^{3}+28|2\sin(x)-1|\left(\cos(x)\right)^{2}+28sign(2\sin(x)-1)\left(\cos(x)\right)^{2}+36|-2\cos(x)+1|\left(\sin(x)\right)^{2}-36sign(-2\cos(x)+1)\left(\sin(x)\right)^{2}+7\sin(2x)sign(2\sin(x)-1)-7\cos(x)|2\sin(x)-1|-7\cos(x)sign(2\sin(x)-1)+9\sin(x)sign(-2\cos(x)+1)-9\sin(x)|-2\cos(x)+1|-9\sin(2x)sign(-2\cos(x)+1)\right)}{\left(\left(-2\cos(x)+1\right)\left(2\sin(x)-1\right)\right)^{2}}$$