What is the derivative of (x^2}{100}+8+\frac{20/x) ?

The derivative of (x^2}{100}+8+\frac{20/x) is x/(50)-(20)/(x^2)

What is the first derivative of (x^2}{100}+8+\frac{20/x) ?

The first derivative of (x^2}{100}+8+\frac{20/x) is x/(50)-(20)/(x^2)

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\frac{d}{d x} (\frac{x ^{2}}{100} + 8 + \frac{20}{x})

\frac{x}{50} - \frac{20}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{100} + 8 + \frac{20}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{100}) + \frac{d}{d x} (8) + \frac{d}{d x} (\frac{20}{x})

\frac{d}{d x} (\frac{x ^{2}}{100}) = \frac{x}{50}

\frac{d}{d x} (8) = 0

\frac{d}{d x} (\frac{20}{x}) = - \frac{20}{x ^{2}}

= \frac{x}{50} + 0 - \frac{20}{x ^{2}}

Simplify

= \frac{x}{50} - \frac{20}{x ^{2}}

\frac{d}{d x} (cos (x) - 6 tan (x))

\frac{d}{d x} (\frac{3 x ^{2} + 9}{6 x})

f (x) = \frac{x + 1}{x ^{2} + 1}

e^{5 x}

\int_{0}^{1} \frac{1}{x ^{2}} d x

What is the derivative of (x^2}{100}+8+\frac{20/x) ?
The derivative of (x^2}{100}+8+\frac{20/x) is x/(50)-(20)/(x^2)
What is the first derivative of (x^2}{100}+8+\frac{20/x) ?
The first derivative of (x^2}{100}+8+\frac{20/x) is x/(50)-(20)/(x^2)