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Popular >

derivative of y^{-1}+y^{-2}

Solution

derivative of

y^{- 1} + y^{- 2}

Solution

- \frac{1}{y ^{2}} - \frac{2}{y ^{3}}

Solution steps

\frac{d}{d y} (y^{- 1} + y^{- 2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d y} (y^{- 1}) + \frac{d}{d y} (y^{- 2})

\frac{d}{d y} (y^{- 1}) = - \frac{1}{y ^{2}}

\frac{d}{d y} (y^{- 2}) = - \frac{2}{y ^{3}}

= - \frac{1}{y ^{2}} - \frac{2}{y ^{3}}

Popular Examples

integral from-1 to 0 of |x^2-1|

\int_{- 1}^{0} x^{2} - 1 d x

limit as x approaches-9+of 1/(x+9)

x \to - 9 + lim (\frac{1}{x + 9})

tangent of y=6x^2-x^3(1.5)tangent of

y = 6 x^{2} - x^{3} (1.5)

limit as x approaches 0 of 1-x^2

x \to 0 lim (1 - x^{2})

integral of x/((1+x)^2)

\int \frac{x}{( 1 + x ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of y^{-1}+y^{-2} ?
The derivative of y^{-1}+y^{-2} is -1/(y^2)-2/(y^3)
What is the first derivative of y^{-1}+y^{-2} ?
The first derivative of y^{-1}+y^{-2} is -1/(y^2)-2/(y^3)