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Popular >

derivative of y= 5/(x^2)

Solution

derivative of

y = \frac{5}{x ^{2}}

Solution

- \frac{10}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 5 (- 2 x^{- 2 - 1})

Simplify

5 (- 2 x^{- 2 - 1}) : - \frac{10}{x ^{3}}

= - \frac{10}{x ^{3}}

Popular Examples

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ln (e^{7 x - 2})

y^{''}+4y^'+10y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 0

derivative of 1/(2+cos(x))

\frac{d}{d x} (\frac{1}{2 + cos ( x )})

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\int 4 e^{x} cos (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of y= 5/(x^2) ?
The derivative of y= 5/(x^2) is -(10)/(x^3)
What is the first derivative of y= 5/(x^2) ?
The first derivative of y= 5/(x^2) is -(10)/(x^3)