展开 (3x^2+x+1)e^xln(x)

解答

展开

(3 x^{2} + x + 1) e^{x} ln (x)

3 e^{x} x^{2} ln (x) + e^{x} x ln (x) + e^{x} ln (x)

求解步骤

(3 x^{2} + x + 1) e^{x} ln (x)

= e^{x} ln (x) (3 x^{2} + x + 1)

打开括号

= e^{x} ln (x) \cdot 3 x^{2} + e^{x} ln (x) x + e^{x} ln (x) \cdot 1

= 3 e^{x} x^{2} ln (x) + e^{x} x ln (x) + 1 \cdot e^{x} ln (x)

乘以:

1 \cdot e^{x} = e^{x}

= 3 e^{x} x^{2} ln (x) + e^{x} x ln (x) + e^{x} ln (x)

e x p an d (2 x - 1) \cdot (ln (5))

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

\frac{d}{d x} ((c) (3 x^{2} + 60))

e x p an d (x - 8) d x - d y

e x p an d 9 u sin (\frac{π}{2} (t + 1))