What is the derivative of 3(ln(x+1)) ?

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

What is the first derivative of 3(ln(x+1)) ?

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

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

\frac{3}{x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= 3 (\frac{1}{x} + 0)

Simplify

3 (\frac{1}{x} + 0) : \frac{3}{x}

= \frac{3}{x}

y^{^{''}} + y^{^{'}} + \frac{1}{4} y = 0

\int \frac{x ^{3} - 2 x ^{2} + 4 x}{x} d x

\frac{d y}{d x} = y^{2} - 9

\int \frac{ln ( t )}{3} d t

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