What is the derivative of (x^3}{100}-\frac{1500/x) ?

The derivative of (x^3}{100}-\frac{1500/x) is (3x^2)/(100)+(1500)/(x^2)

What is the first derivative of (x^3}{100}-\frac{1500/x) ?

The first derivative of (x^3}{100}-\frac{1500/x) is (3x^2)/(100)+(1500)/(x^2)

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\frac{d}{d x} (\frac{x ^{3}}{100} - \frac{1500}{x})

\frac{3 x ^{2}}{100} + \frac{1500}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{100} - \frac{1500}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{100}) - \frac{d}{d x} (\frac{1500}{x})

\frac{d}{d x} (\frac{x ^{3}}{100}) = \frac{3 x ^{2}}{100}

\frac{d}{d x} (\frac{1500}{x}) = - \frac{1500}{x ^{2}}

= \frac{3 x ^{2}}{100} - (- \frac{1500}{x ^{2}})

Simplify

= \frac{3 x ^{2}}{100} + \frac{1500}{x ^{2}}

\int 11 arctan (x) d x

\frac{d}{d x} (16 in (x^{2}) - x^{2})

f (x) = \frac{1}{x - 1}, at x = 3

\int e^{2 x - 1} d x

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

What is the derivative of (x^3}{100}-\frac{1500/x) ?
The derivative of (x^3}{100}-\frac{1500/x) is (3x^2)/(100)+(1500)/(x^2)
What is the first derivative of (x^3}{100}-\frac{1500/x) ?
The first derivative of (x^3}{100}-\frac{1500/x) is (3x^2)/(100)+(1500)/(x^2)