What is the derivative of (x^3/(12)+1/x) ?

The derivative of (x^3/(12)+1/x) is (x^2)/4-1/(x^2)

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

The first derivative of (x^3/(12)+1/x) is (x^2)/4-1/(x^2)

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Popular >

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

\frac{x ^{2}}{4} - \frac{1}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x ^{3}}{12}) = \frac{x ^{2}}{4}

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

= \frac{x ^{2}}{4} - \frac{1}{x ^{2}}

\int \frac{16}{e ^{4 x}} d x

sin (9 t)

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\frac{d}{d x} (2 x - y)

\frac{d}{d x} (5 x^{2} \cdot 2 e^{3 x})

What is the derivative of (x^3/(12)+1/x) ?
The derivative of (x^3/(12)+1/x) is (x^2)/4-1/(x^2)
What is the first derivative of (x^3/(12)+1/x) ?
The first derivative of (x^3/(12)+1/x) is (x^2)/4-1/(x^2)