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

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

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

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

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Popular >

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

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

Solution steps

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

\frac{d}{d x} (3 x^{2} + 4 x - 2) = 6 x + 4

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

= \frac{( 6 x + 4 ) x - 1 \cdot ( 3 x ^{2} + 4 x - 2 )}{x ^{2}}

Simplify

\frac{( 6 x + 4 ) x - 1 \cdot ( 3 x ^{2} + 4 x - 2 )}{x ^{2}} : \frac{3 x ^{2} + 2}{x ^{2}}

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

\frac{5}{x}

\int \frac{x}{a ^{2} + x ^{2}} d x

\frac{d}{d x} (x y + 8)

h \to 0 lim (4 h - h^{2})

\int \frac{9 - 162 x}{25 - 81 x ^{2}} d x

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