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Popular >

derivative of-(12/(x^6))

Solution

\frac{d}{d x} (- \frac{12}{x ^{6}})

Solution

\frac{72}{x ^{7}}

Solution steps

\frac{d}{d x} (- \frac{12}{x ^{6}})

Take the constant out:

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

= - 12 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 12 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 12 (- 6 x^{- 6 - 1})

Simplify

- 12 (- 6 x^{- 6 - 1}) : \frac{72}{x ^{7}}

= \frac{72}{x ^{7}}

Popular Examples

integral of (x+1)/(sqrt(x^3))

\int \frac{x + 1}{x ^{3}} d x

limit as z approaches i of z^2+2z

z \to i lim (z^{2} + 2 z)

y^{''}-4y^'+4y=(e^{2x})/x

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{e ^{2 x}}{x}

derivative of (4x/(sqrt(x^2+1)))

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

derivative of (sqrt(x)-2/(\sqrt[3]{x)})

Frequently Asked Questions (FAQ)

What is the derivative of-(12/(x^6)) ?
The derivative of-(12/(x^6)) is (72)/(x^7)
What is the first derivative of-(12/(x^6)) ?
The first derivative of-(12/(x^6)) is (72)/(x^7)