What is the derivative of 5x+(100/x) ?

The derivative of 5x+(100/x) is 5-(100)/(x^2)

What is the first derivative of 5x+(100/x) ?

The first derivative of 5x+(100/x) is 5-(100)/(x^2)

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\frac{d}{d x} (5 x + \frac{100}{x})

5 - \frac{100}{x ^{2}}

Solution steps

\frac{d}{d x} (5 x + \frac{100}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{100}{x})

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

\frac{d}{d x} (\frac{100}{x}) = - \frac{100}{x ^{2}}

= 5 - \frac{100}{x ^{2}}

x \to 2 lim (\frac{x + 2}{x - 2})

\frac{d}{d x} (\frac{5}{3})

\frac{d}{d x} (\frac{x ^{6}}{12} ln (x) - \frac{x ^{6}}{72})

\frac{d}{d x} (e^{- 5 x} - 5 e^{- 5 x} x)

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

What is the derivative of 5x+(100/x) ?
The derivative of 5x+(100/x) is 5-(100)/(x^2)
What is the first derivative of 5x+(100/x) ?
The first derivative of 5x+(100/x) is 5-(100)/(x^2)