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)

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}}

d er i v a t i v e lo g_{10} (x) x + 1

d er i v a t i v e e^{- 3 x} sin (5 x)

\frac{d}{d x} ((\frac{x + 1}{x})^{\frac{3}{7}})

d er i v a t i v e y = \frac{arcsin ( 1 )}{x}

d er i v a t i v e \frac{( 1 - x ) x ^{2}}{( 1 + x ^{2} )}

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)