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Popular >

derivative of-(10/(x^{11)})

Solution

\frac{d}{d x} (- \frac{10}{x ^{11}})

Solution

\frac{110}{x ^{12}}

Solution steps

\frac{d}{d x} (- \frac{10}{x ^{11}})

Take the constant out:

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

= - 10 \frac{d}{d x} (\frac{1}{x ^{11}})

Apply exponent rule:

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

= - 10 \frac{d}{d x} (x^{- 11})

Apply the Power Rule:

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

= - 10 (- 11 x^{- 11 - 1})

Simplify

- 10 (- 11 x^{- 11 - 1}) : \frac{110}{x ^{12}}

= \frac{110}{x ^{12}}

Popular Examples

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\int e^{x} + 1 d x

(\partial)/(\partial y)(ln(x)+ln(y))

\frac{\partial}{\partial y} (ln (x) + ln (y))

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

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\int \frac{x}{x + 7} d x

(\partial)/(\partial y)((x+y)^8)

\frac{\partial}{\partial y} ((x + y)^{8})

Frequently Asked Questions (FAQ)

What is the derivative of-(10/(x^{11)}) ?
The derivative of-(10/(x^{11)}) is (110)/(x^{12)}
What is the first derivative of-(10/(x^{11)}) ?
The first derivative of-(10/(x^{11)}) is (110)/(x^{12)}