What is the derivative of 3ln(x-5) ?

The derivative of 3ln(x-5) is 3/x

What is the first derivative of 3ln(x-5) ?

The first derivative of 3ln(x-5) is 3/x

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\frac{d}{d x} (3 ln (x) - 5)

\frac{3}{x}

Solution steps

\frac{d}{d x} (3 ln (x) - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 ln (x)) - \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= \frac{3}{x} - 0

Simplify

= \frac{3}{x}

\int \frac{3 x ^{2} + 2 x + 7}{x ^{2} + 1} d x

x^{3}, at x = - 5

\int \frac{1}{- 5 x} d x

\frac{\partial}{\partial x} (4 π^{2} (x^{2} - y^{2}))

\frac{d}{d x} (arcsin (sin (x)))

What is the derivative of 3ln(x-5) ?
The derivative of 3ln(x-5) is 3/x
What is the first derivative of 3ln(x-5) ?
The first derivative of 3ln(x-5) is 3/x