展开 (x+9sqrt(x))e^x

解答

展开

(x + 9 x) e^{x}

e^{x} x + 9 e^{x} x

求解步骤

(x + 9 x) e^{x}

= e^{x} (x + 9 x)

使用分配律:

a (b + c) = ab + a c

a = e^{x}, b = x, c = 9 x

= e^{x} x + e^{x} \cdot 9 x

= e^{x} x + 9 e^{x} x

e x p an d \frac{( 2 x + 1 )}{( 4 + x ^{2} ) d x}

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

e x p an d \frac{1}{3 ( x - 5 )}

e x p an d e x p ress i o n^{0.15} k (x + y)

e x p an d (2 x + y^{3} - 3)^{5}