展开 (derivative of 1+x(log_{10}(x+1)))/x

解答

展开

\frac{\frac{d}{d x} ( 1 + x ( lo g _{10} ( x ) + 1 ) )}{x}

\frac{\frac{d}{d x} ( 1 + x lo g _{10} ( x ) + x )}{x}

求解步骤

\frac{\frac{d}{d x} ( 1 + x ( lo g _{10} ( x ) + 1 ) )}{x}

乘开

1 + x (lo g_{10} (x) + 1) : 1 + x lo g_{10} (x) + x

= \frac{\frac{d}{d x} ( 1 + x lo g _{10} ( x ) + x )}{x}

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