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Popular >

(\partial)/(\partial x)(6/(x^2))

Solution

\frac{\partial}{\partial x} (\frac{6}{x ^{2}})

Solution

- \frac{12}{x ^{3}}

Solution steps

\frac{\partial}{\partial x} (\frac{6}{x ^{2}})

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 6 (- 2 x^{- 2 - 1})

Simplify

6 (- 2 x^{- 2 - 1}) : - \frac{12}{x ^{3}}

= - \frac{12}{x ^{3}}

Popular Examples

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\int \frac{x ^{3}}{2 - x ^{4}} d x

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\int \frac{1}{x ^{2} x ^{2} - 144} d x

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\int_{- π}^{0} 1 d x

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x \to 0 lim (\frac{sin ( 3 x )}{x + 4 - 2})

derivative of x^4-5x+1

\frac{d}{d x} (x^{4} - 5 x + 1)

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(6/(x^2)) ?
The answer to (\partial)/(\partial x)(6/(x^2)) is -(12)/(x^3)