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Popular >

derivative of 7/(8x^5)

Solution

\frac{d}{d x} (\frac{7}{8 x ^{5}})

Solution

- \frac{35}{8 x ^{6}}

Solution steps

\frac{d}{d x} (\frac{7}{8 x ^{5}})

Take the constant out:

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

= \frac{7}{8} \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= \frac{7}{8} \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= \frac{7}{8} (- 5 x^{- 5 - 1})

Simplify

\frac{7}{8} (- 5 x^{- 5 - 1}) : - \frac{35}{8 x ^{6}}

= - \frac{35}{8 x ^{6}}

Popular Examples

(\partial)/(\partial y)(ycos(z))

\frac{\partial}{\partial y} (y cos (z))

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\int e^{3 x} cos (3 x) d x

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\frac{\partial}{\partial y} (z^{2})

limit as x approaches pi/5 of cot(5x)

x \to \frac{π}{5} lim (cot (5 x))

(\partial)/(\partial x)(xy-x+y)

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

Frequently Asked Questions (FAQ)

What is the derivative of 7/(8x^5) ?
The derivative of 7/(8x^5) is -(35)/(8x^6)
What is the first derivative of 7/(8x^5) ?
The first derivative of 7/(8x^5) is -(35)/(8x^6)