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

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

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

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

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derivative of

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

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

Solution steps

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

Simplify

3 \cdot \frac{x ^{2}}{x} - \frac{2}{x} : 3 x - \frac{2}{x}

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

x + (1 - x^{2})^{\frac{1}{2}}

lo g_{10} (x) x + 1

e^{- 3 x} sin (5 x)

7 x^{3} - 2 x^{2} + 3 x - 5

3 x^{2} - 5.704 x + 3.1592

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