What is the derivative of 6(ln(x)+1) ?

The derivative of 6(ln(x)+1) is 6/x

What is the first derivative of 6(ln(x)+1) ?

The first derivative of 6(ln(x)+1) is 6/x

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derivative of

6 (ln (x) + 1)

\frac{6}{x}

Solution steps

\frac{d}{d x} (6 (ln (x) + 1))

Take the constant out:

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

= 6 \frac{d}{d x} (ln (x) + 1)

Apply the Sum/Difference Rule:

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

= 6 (\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

= 6 (\frac{1}{x} + 0)

Simplify

6 (\frac{1}{x} + 0) : \frac{6}{x}

= \frac{6}{x}

What is the derivative of 6(ln(x)+1) ?
The derivative of 6(ln(x)+1) is 6/x
What is the first derivative of 6(ln(x)+1) ?
The first derivative of 6(ln(x)+1) is 6/x