What is the derivative of 3ln(x)-(x^2)/(24) ?

The derivative of 3ln(x)-(x^2)/(24) is 3/x-x/(12)

What is the first derivative of 3ln(x)-(x^2)/(24) ?

The first derivative of 3ln(x)-(x^2)/(24) is 3/x-x/(12)

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derivative of

3 ln (x) - \frac{x ^{2}}{24}

\frac{3}{x} - \frac{x}{12}

Solution steps

\frac{d}{d x} (3 ln (x) - \frac{x ^{2}}{24})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 ln (x)) - \frac{d}{d x} (\frac{x ^{2}}{24})

\frac{d}{d x} (3 ln (x)) = \frac{3}{x}

\frac{d}{d x} (\frac{x ^{2}}{24}) = \frac{x}{12}

= \frac{3}{x} - \frac{x}{12}

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{x} + e^{2 x} + e^{- x}

\frac{x ^{2}}{1 + 2 x}

(6 y + 2 x - 7) d x + (8 y + 6 x - 1) d y = 0

x \to + 3 lim (\frac{6 x}{x - 3})

e^{x^{2}}

What is the derivative of 3ln(x)-(x^2)/(24) ?
The derivative of 3ln(x)-(x^2)/(24) is 3/x-x/(12)
What is the first derivative of 3ln(x)-(x^2)/(24) ?
The first derivative of 3ln(x)-(x^2)/(24) is 3/x-x/(12)