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Popular >

(y^{-1})^'

Solution

(y^{- 1})^{^{'}}

Solution

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

Solution steps

(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}}

Popular Examples

limit as x approaches-1 of (x+1)/(x^3+1)

x \to - 1 lim (\frac{x + 1}{x ^{3} + 1})

y^'=-y+1/(sqrt(y))

y^{^{'}} = - y + \frac{1}{y}

derivative of sqrt(2-x)derivative of

2 - x

derivative of e^{ln(x^2+1})

\frac{d}{d x} (e^{l n (x^{2} + 1)})

tangent of y=x^3-12x,(1,-11)tangent of

y = x^{3} - 12 x, (1, - 11)

Frequently Asked Questions (FAQ)

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