展开 (\partial)/(\partial x)(2x)+3y^2(1+x)^2

解答

展开

\frac{\partial}{\partial x} (2 x) + 3 y^{2} (1 + x)^{2}

\frac{\partial}{\partial x} (2 x) + 3 y^{2} + 6 x y^{2} + 3 x^{2} y^{2}

求解步骤

\frac{\partial}{\partial x} (2 x) + 3 y^{2} (1 + x)^{2}

(1 + x)^{2} = 1 + 2 x + x^{2}

= \frac{\partial}{\partial x} (2 x) + 3 y^{2} (x^{2} + 2 x + 1)

乘开

3 y^{2} (1 + 2 x + x^{2}) : 3 y^{2} + 6 x y^{2} + 3 x^{2} y^{2}

= \frac{\partial}{\partial x} (2 x) + 3 y^{2} + 6 x y^{2} + 3 x^{2} y^{2}

s im pl i f y (x - 9 + 1)^{2}

e x p an d \frac{π ( 9 - h ^{2} ) ( h + 3 )}{3}

e x p an d \frac{x ^{x^{2}}}{( x + 1 ) ^{(x + 1)^{2}}}

e x p an d lo g_{10} (10) x^{2}

e x p an d t (1 - cos (t))