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

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

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

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

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derivative of

y = x + \frac{5}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

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

\frac{d}{d x} (- \frac{36}{x ^{4}})

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

\int (cot (b x) + tan (b x))^{2} d x

f (x) = x^{2}, at x = 2 x - 1

\frac{d}{d y} (1 - y^{2})

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