حل 4sin(frac{1/2)/x^(frac{5{2)}}-8cos(1/x)/x^(frac{3{2)}}+sqrt{2}cos(frac{sqrt{2x}}{2})}{4sqrt{x}}

$$\frac { \frac { 4 \sin ( \frac { 1 } { 2 } ) } { x ^ { ( \frac { 5 } { 2 } ) } } - \frac { 8 \cos ( \frac { 1 } { x } ) } { x ^ { ( \frac { 3 } { 2 } ) } } + \sqrt { 2 } \cos ( \frac { \sqrt { 2 x } } { 2 } ) } { 4 \sqrt { x } }$$

ارزیابی

$$\frac{50000000000000000x^{2.5}\sqrt{\cos(\sqrt{2x})+1}-400000000000000000x\cos(\frac{1}{x})+1745307099674787}{200000000000000000x^{3}}$$

مشتق گرفتن w.r.t. x

$$\frac{-\frac{400000000000000000\sin(\frac{1}{x})}{x^{3}}+\frac{800000000000000000\cos(\frac{1}{x})}{x^{2}}-\frac{25000000000000000\sqrt{2}\cos(\frac{\sqrt{2x}}{2})}{\sqrt{x}}-25000000000000000\sin(\frac{\sqrt{2x}}{2})-\frac{5235921299024361}{x^{3}}}{200000000000000000x}$$