What is the derivative of y^{-1} ?

The derivative of y^{-1} is -1/(y^2)

What is the first derivative of y^{-1} ?

The first derivative of y^{-1} is -1/(y^2)

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derivative of

y^{- 1}

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

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{\partial}{\partial y} (\frac{1}{y ^{2}})

\frac{d y}{d x} = 12 - y

x^{- 3}

\int - π + 2 t cos (n) t d t

n = 1 \sum \infty e^{n}

What is the derivative of y^{-1} ?
The derivative of y^{-1} is -1/(y^2)
What is the first derivative of y^{-1} ?
The first derivative of y^{-1} is -1/(y^2)