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Popular >

(1/y)^'

Solution

(\frac{1}{y})^{^{'}}

Solution

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

Solution steps

(\frac{1}{y})^{'}

Apply exponent rule:

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

= (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

y^'=(xy^3)/(sqrt(1+x^2)),y(0)=-1

y^{^{'}} = \frac{x y ^{3}}{1 + x ^{2}}, y (0) = - 1

limit as x approaches 4 of 3x^2-7x+5

x \to 4 lim (3 x^{2} - 7 x + 5)

derivative of-(e^{1/x}/(x^2))

\frac{d}{d x} (- \frac{e ^{\frac{1}{x}}}{x ^{2}})

integral of x/(x+2)

\int \frac{x}{x + 2} d x

integral of 2cos^3(x)

\int 2 cos^{3} (x) d x

Frequently Asked Questions (FAQ)

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