What is the derivative of x/3-3/x ?

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

What is the first derivative of x/3-3/x ?

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

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Popular >

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

\frac{1}{3} + \frac{3}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x}{3}) = \frac{1}{3}

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

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

Simplify

= \frac{1}{3} + \frac{3}{x ^{2}}

(x + 1) \frac{d y}{d x} + y = ln (x)

\int_{0}^{2} 4^{- x} d x

y^{^{'}} = \frac{1}{x + y}

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

x^{2} + 3 x + 1

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