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

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

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

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

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

1 + \frac{1}{x + 1}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 + \frac{1}{x + 1}

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