What is the derivative of x/5+5/x ?

The derivative of x/5+5/x is 1/5-5/(x^2)

What is the first derivative of x/5+5/x ?

The first derivative of x/5+5/x is 1/5-5/(x^2)

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derivative of

\frac{x}{5} + \frac{5}{x}

\frac{1}{5} - \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{5} + \frac{5}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{5}) + \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= \frac{1}{5} - \frac{5}{x ^{2}}

\int 6 x^{3} 3 x^{4} + 2 d x

\int x ln (3 + x) d x

(- 9 x^{3} + 5 x^{2})^{4}

\int (4 sec (x) tan (x) + 3 sec^{2} (x)) d x

\frac{\partial}{\partial x} (- y^{2})

What is the derivative of x/5+5/x ?
The derivative of x/5+5/x is 1/5-5/(x^2)
What is the first derivative of x/5+5/x ?
The first derivative of x/5+5/x is 1/5-5/(x^2)