What is the derivative of f(x)= x/5+7/x ?

The derivative of f(x)= x/5+7/x is 1/5-7/(x^2)

What is the first derivative of f(x)= x/5+7/x ?

The first derivative of f(x)= x/5+7/x is 1/5-7/(x^2)

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derivative of

f (x) = \frac{x}{5} + \frac{7}{x}

\frac{1}{5} - \frac{7}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{5} + \frac{7}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{5}) + \frac{d}{d x} (\frac{7}{x})

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

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= \frac{1}{5} - \frac{7}{x ^{2}}

What is the derivative of f(x)= x/5+7/x ?
The derivative of f(x)= x/5+7/x is 1/5-7/(x^2)
What is the first derivative of f(x)= x/5+7/x ?
The first derivative of f(x)= x/5+7/x is 1/5-7/(x^2)