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Popular >

derivative of-4/(x^4)

Solution

\frac{d}{d x} (- \frac{4}{x ^{4}})

Solution

\frac{16}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{4}{x ^{4}})

Take the constant out:

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

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

Apply exponent rule:

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

= - 4 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 4 (- 4 x^{- 4 - 1})

Simplify

- 4 (- 4 x^{- 4 - 1}) : \frac{16}{x ^{5}}

= \frac{16}{x ^{5}}

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

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integral of (xy)/(sqrt(x^2+y^2+1))

\int \frac{x y}{x ^{2} + y ^{2} + 1} d x

derivative of 3x^4+(2x-1^2)

\frac{d}{d x} (3 x^{4} + (2 x - 1)^{2})

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\int_{1}^{4} \frac{1}{4 - x} d x

Frequently Asked Questions (FAQ)

What is the derivative of-4/(x^4) ?
The derivative of-4/(x^4) is (16)/(x^5)
What is the first derivative of-4/(x^4) ?
The first derivative of-4/(x^4) is (16)/(x^5)