What is the derivative of 5x+(900/x) ?

The derivative of 5x+(900/x) is 5-(900)/(x^2)

What is the first derivative of 5x+(900/x) ?

The first derivative of 5x+(900/x) is 5-(900)/(x^2)

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\frac{d}{d x} (5 x + \frac{900}{x})

5 - \frac{900}{x ^{2}}

Solution steps

\frac{d}{d x} (5 x + \frac{900}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{900}{x})

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

\frac{d}{d x} (\frac{900}{x}) = - \frac{900}{x ^{2}}

= 5 - \frac{900}{x ^{2}}

\int 36

\frac{d}{d x} (2 sin^{3} (5 x))

\int \frac{1}{x ^{2} - 3 x + 4} d x

\int 3 x (ln (x^{7}))^{2} d x

\frac{d}{d x} (arctan (\frac{3 + x}{3 - x}))

What is the derivative of 5x+(900/x) ?
The derivative of 5x+(900/x) is 5-(900)/(x^2)
What is the first derivative of 5x+(900/x) ?
The first derivative of 5x+(900/x) is 5-(900)/(x^2)