What is the derivative of x/a+a/x ?

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

What is the first derivative of x/a+a/x ?

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

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Popular >

\frac{d}{d x} (\frac{x}{a} + \frac{a}{x})

\frac{1}{a} - \frac{a}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{a} + \frac{a}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{a}) + \frac{d}{d x} (\frac{a}{x})

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

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

= \frac{1}{a} - \frac{a}{x ^{2}}

\frac{\partial}{\partial x} (2 x^{\frac{1}{2}})

\frac{d}{d y} (4 y^{3})

\int_{0}^{9} (2 x^{3} + 1) d x

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

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