d/(dy)(1/y)

解答

\frac{d}{d y} (\frac{1}{y})

- \frac{1}{y ^{2}}

求解步骤

\frac{d}{d y} (\frac{1}{y})

使用指数法则:

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

= \frac{d}{d y} (y^{- 1})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 1 \cdot y^{- 1 - 1}

化简

- 1 \cdot y^{- 1 - 1} : - \frac{1}{y ^{2}}

= - \frac{1}{y ^{2}}

\int - cos^{3} (x) d x

\frac{d}{d x} (sin (3) x^{2} cos (2 x))

\int t \cdot e^{t} d t

y^{^{''}} - y^{^{'}} + 121 y = 11 sin (11 t)

\int \frac{1}{x x - 2} d x