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Popular >

derivative of x^3-1/(12x)

Solution

\frac{d}{d x} (x^{3} - \frac{1}{12 x})

Solution

3 x^{2} + \frac{1}{12 x ^{2}}

Solution steps

\frac{d}{d x} (x^{3} - \frac{1}{12 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (\frac{1}{12 x})

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (\frac{1}{12 x}) = - \frac{1}{12 x ^{2}}

= 3 x^{2} - (- \frac{1}{12 x ^{2}})

Simplify

= 3 x^{2} + \frac{1}{12 x ^{2}}

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derivative of 2/(1-2x)

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Frequently Asked Questions (FAQ)

What is the derivative of x^3-1/(12x) ?
The derivative of x^3-1/(12x) is 3x^2+1/(12x^2)
What is the first derivative of x^3-1/(12x) ?
The first derivative of x^3-1/(12x) is 3x^2+1/(12x^2)