What is the derivative of x+(25/x) ?

The derivative of x+(25/x) is 1-(25)/(x^2)

What is the first derivative of x+(25/x) ?

The first derivative of x+(25/x) is 1-(25)/(x^2)

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\frac{d}{d x} (x + \frac{25}{x})

1 - \frac{25}{x ^{2}}

Solution steps

\frac{d}{d x} (x + \frac{25}{x})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (\frac{25}{x})

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

\frac{d}{d x} (\frac{25}{x}) = - \frac{25}{x ^{2}}

= 1 - \frac{25}{x ^{2}}

(ln (\frac{x ( x ^{2} + 1 ) ^{2}}{2 x ^{3} - 1}))^{^{'}}

f (x) = 1 + sin (x), at x = - π

\int x^{3} ln (8 x) d x

x \to - 3 lim (3)

\int \frac{5 ( 4 x + 2 )}{2 ( x ^{2} + 4 x + 5 )} d x

What is the derivative of x+(25/x) ?
The derivative of x+(25/x) is 1-(25)/(x^2)
What is the first derivative of x+(25/x) ?
The first derivative of x+(25/x) is 1-(25)/(x^2)