What is the derivative of 2ln(x-(x^2)/(16)) ?

The derivative of 2ln(x-(x^2)/(16)) is 2/x-x/8

What is the first derivative of 2ln(x-(x^2)/(16)) ?

The first derivative of 2ln(x-(x^2)/(16)) is 2/x-x/8

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

\frac{2}{x} - \frac{x}{8}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 ln (x)) = \frac{2}{x}

\frac{d}{d x} (\frac{x ^{2}}{16}) = \frac{x}{8}

= \frac{2}{x} - \frac{x}{8}

\int \frac{x}{9 x ^{2} - 4} d x

y^{^{''}} + 6 y^{^{'}} + 34 y = 68, y (0) = 5, y^{^{'}} (0) = 7

\int x^{0.813} d x

x y + y^{^{'}} = 18 x

\frac{d}{d x} (\frac{( g ( x ) ) ^{2}}{h ( x )})

What is the derivative of 2ln(x-(x^2)/(16)) ?
The derivative of 2ln(x-(x^2)/(16)) is 2/x-x/8
What is the first derivative of 2ln(x-(x^2)/(16)) ?
The first derivative of 2ln(x-(x^2)/(16)) is 2/x-x/8