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Popular >

(y^{-2})^'

Solution

(y^{- 2})^{^{'}}

Solution

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

Solution steps

(y^{- 2})^{'}

Apply the Power Rule:

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

= - 2 y^{- 2 - 1}

Simplify

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

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

Popular Examples

(\partial)/(\partial x)(x^6y-2x^3y^2)

\frac{\partial}{\partial x} (x^{6} y - 2 x^{3} y^{2})

area y=x+4,y=x^2+x-12 area

y = x + 4, y = x^{2} + x - 12

area 2(x+1),3(x+1),x=4 area

2 (x + 1), 3 (x + 1), x = 4

derivative of x^3+x+3 derivative of

x^{3} + x + 3

area e^x,e^{-4x},x=ln(3)area

e^{x}, e^{- 4 x}, x = ln (3)

Frequently Asked Questions (FAQ)

What is the (y^{-2})^' ?
The (y^{-2})^' is -2/(y^3)
What is the first (y^{-2})^' ?
The first (y^{-2})^' is -2/(y^3)