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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d y}{d x} = 16 x + y - 16

\int x ln (\frac{1}{x}) d x

(1.1) (2.4)

5 x - 4 x

\int 9 tan^{2} (x) sec (x) d x

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