What is the derivative of ln(x/3+(x-3)/x) ?

The derivative of ln(x/3+(x-3)/x) is 1/x+3/(x^2)

What is the first derivative of ln(x/3+(x-3)/x) ?

The first derivative of ln(x/3+(x-3)/x) is 1/x+3/(x^2)

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Popular >

\frac{d}{d x} (ln (\frac{x}{3}) + \frac{x - 3}{x})

\frac{1}{x} + \frac{3}{x ^{2}}

Solution steps

\frac{d}{d x} (ln (\frac{x}{3}) + \frac{x - 3}{x})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (ln (\frac{x}{3})) = \frac{1}{x}

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

= \frac{1}{x} + \frac{3}{x ^{2}}

\frac{3}{s ( s - 1 ) ^{3}}

f (x) = lo g_{10} (1 - x)

\int 30 x d x

\frac{d}{d x} (a - b (x - c)^{\frac{1}{3}})

\int (x + 1) e^{3 x} d x

What is the derivative of ln(x/3+(x-3)/x) ?
The derivative of ln(x/3+(x-3)/x) is 1/x+3/(x^2)
What is the first derivative of ln(x/3+(x-3)/x) ?
The first derivative of ln(x/3+(x-3)/x) is 1/x+3/(x^2)