展开 a^x*(ln(a)+x/a)

解答

展开

a^{x} \cdot (ln (a) + \frac{x}{a})

a^{x} ln (a) + a^{x - 1} x

求解步骤

a^{x} (ln (a) + \frac{x}{a})

使用分配律:

a (b + c) = ab + a c

a = a^{x}, b = ln (a), c = \frac{x}{a}

= a^{x} ln (a) + a^{x} \frac{x}{a}

a^{x} \frac{x}{a} = a^{x - 1} x

= a^{x} ln (a) + a^{x - 1} x

e x p an d (P - J)^{2} + (Q - K)^{2}

s im pl i f y (a + 55)^{2}

e x p an d 3 (1 + \frac{2 i}{n})^{2}

e x p an d \frac{15 x ^{2} - 10 x + 16}{( 3 x - 1 ) ^{2}}

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