What is the derivative of 5ln(x-(x^2)/(40)) ?

The derivative of 5ln(x-(x^2)/(40)) is 5/x-x/(20)

What is the first derivative of 5ln(x-(x^2)/(40)) ?

The first derivative of 5ln(x-(x^2)/(40)) is 5/x-x/(20)

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\frac{d}{d x} (5 ln (x) - \frac{x ^{2}}{40})

\frac{5}{x} - \frac{x}{20}

Solution steps

\frac{d}{d x} (5 ln (x) - \frac{x ^{2}}{40})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 ln (x)) - \frac{d}{d x} (\frac{x ^{2}}{40})

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

\frac{d}{d x} (\frac{x ^{2}}{40}) = \frac{x}{20}

= \frac{5}{x} - \frac{x}{20}

\frac{d}{d x} (\frac{1 + x ^{2}}{x})

x \to 4 lim (\frac{6}{x})

\int x y^{2} d x

\frac{6 d u}{d t} = u^{2}

\frac{x ^{2} + 2 x}{4 x}

What is the derivative of 5ln(x-(x^2)/(40)) ?
The derivative of 5ln(x-(x^2)/(40)) is 5/x-x/(20)
What is the first derivative of 5ln(x-(x^2)/(40)) ?
The first derivative of 5ln(x-(x^2)/(40)) is 5/x-x/(20)