展开 e^{x^2+2x+5}(2x+2)

解答

展开

e^{x^{2} + 2 x + 5} (2 x + 2)

2 e^{x^{2} + 2 x + 5} x + 2 e^{x^{2} + 2 x + 5}

求解步骤

e^{x^{2} + 2 x + 5} (2 x + 2)

使用分配律:

a (b + c) = ab + a c

a = e^{x^{2} + 2 x + 5}, b = 2 x, c = 2

= e^{x^{2} + 2 x + 5} \cdot 2 x + e^{x^{2} + 2 x + 5} \cdot 2

= 2 e^{x^{2} + 2 x + 5} x + 2 e^{x^{2} + 2 x + 5}

e x p an d (x + y)^{2} d y

e x p an d - 10 (\frac{π}{6} - \frac{3}{2})

e x p an d \frac{3 ( 5 sin ^{6} ( t ) + 5 cos ^{4} ( t ) ) sin ( 2 t )}{2}

e x p an d (x - 5)^{2} y^{''} (x) + 10 (x - 5) y^{'} (x) + 7 y

e x p an d \frac{4 9 x ^{3}}{3 x}