გადაწყვიტეთ 1/x+h-1/1+xquad70frac{1/sqrt{x+h}-1/sqrt{x}}{h}

$$\frac { 1 } { x + h } - \frac { 1 } { 1 + x } \quad 70 \frac { \frac { 1 } { \sqrt { x + h } } - \frac { 1 } { \sqrt { x } } } { h }$$

შეფასება

$$\frac{hx^{\frac{3}{2}}+\sqrt{x}h-70\sqrt{x\left(x+h\right)}+70h+70x}{\sqrt{x}h\left(x+1\right)\left(x+h\right)}$$

დიფერენცირება x-ის მიმართ

$$\frac{-hx^{\frac{7}{2}}+105hx\sqrt{x\left(x+h\right)}+175\sqrt{x\left(x+h\right)}x^{2}-2hx^{\frac{5}{2}}-hx^{\frac{3}{2}}-35\sqrt{x+h}hx^{\frac{3}{2}}-70\sqrt{x+h}x^{\frac{5}{2}}-105xh^{2}-210hx^{2}-105x^{3}+105x\sqrt{x\left(x+h\right)}-70\sqrt{x+h}x^{\frac{3}{2}}-70hx-35h^{2}-35x^{2}}{hx^{\frac{3}{2}}\left(\left(x+1\right)\left(x+h\right)\right)^{2}}$$