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Popular >

derivative of 1/(4x^3-5/(2x))

Solution

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{5}{2 x})

Solution

- \frac{3}{4 x ^{4}} + \frac{5}{2 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{5}{2 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{1}{4 x ^{3}}) - \frac{d}{d x} (\frac{5}{2 x})

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

\frac{d}{d x} (\frac{5}{2 x}) = - \frac{5}{2 x ^{2}}

= - \frac{3}{4 x ^{4}} - (- \frac{5}{2 x ^{2}})

Simplify

= - \frac{3}{4 x ^{4}} + \frac{5}{2 x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 1/(4x^3-5/(2x)) ?
The derivative of 1/(4x^3-5/(2x)) is -3/(4x^4)+5/(2x^2)
What is the first derivative of 1/(4x^3-5/(2x)) ?
The first derivative of 1/(4x^3-5/(2x)) is -3/(4x^4)+5/(2x^2)