展开 ((0.5^θ(-x^{-θ}+5^{-θ})))/θ

解答

展开

\frac{( 0. 5 ^{θ} ( - x ^{- θ} + 5 ^{- θ} ) )}{θ}

- \frac{0. 5 ^{θ} x ^{- θ}}{θ} + \frac{5 ^{- θ} \cdot 0. 5 ^{θ}}{θ}

求解步骤

\frac{0. 5 ^{θ} ( - x ^{- θ} + 5 ^{- θ} )}{θ}

乘开

0. 5^{θ} (- x^{- θ} + 5^{- θ}) : - 0. 5^{θ} x^{- θ} + 5^{- θ} \cdot 0. 5^{θ}

= \frac{- 0. 5 ^{θ} x ^{- θ} + 5 ^{- θ} \cdot 0. 5 ^{θ}}{θ}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 0. 5 ^{θ} x ^{- θ} + 5 ^{- θ} \cdot 0. 5 ^{θ}}{θ} = - \frac{0. 5 ^{θ} x ^{- θ}}{θ} + \frac{5 ^{- θ} \cdot 0. 5 ^{θ}}{θ}

= - \frac{0. 5 ^{θ} x ^{- θ}}{θ} + \frac{5 ^{- θ} \cdot 0. 5 ^{θ}}{θ}

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