Ratkaise a^2+asqrt[3]{ab^2}+sqrt{b^2+bsqrt[3]{a^2b}}

$$a ^ { 2 } + a \sqrt[ 3 ] { a b ^ { 2 } } + \sqrt { b ^ { 2 } + b \sqrt[ 3 ] { a ^ { 2 } b } }$$

Laske

$$b^{\frac{2}{3}}a^{\frac{4}{3}}+a^{2}+\sqrt{a^{\frac{2}{3}}+b^{\frac{2}{3}}}b^{\frac{2}{3}}$$

Derivoi muuttujan a suhteen

$$\frac{4\left(ab\right)^{\frac{2}{3}}}{3\sqrt[3]{a}}+2a+\frac{b^{\frac{2}{3}}}{3\sqrt[3]{a}\sqrt{a^{\frac{2}{3}}+b^{\frac{2}{3}}}}$$