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Popular >

derivative of (3x^2-2/x)

Solution

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

\frac{d}{d x} (3 x^{2} - 2) = 6 x

\frac{d x}{d x} = 1

= \frac{6 xx - 1 \cdot ( 3 x ^{2} - 2 )}{x ^{2}}

Simplify

\frac{6 xx - 1 \cdot ( 3 x ^{2} - 2 )}{x ^{2}} : \frac{3 x ^{2} + 2}{x ^{2}}

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

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Frequently Asked Questions (FAQ)

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