What is the derivative of ln(5+x) ?

The derivative of ln(5+x) is 1/(5+x)

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

The first derivative of ln(5+x) is 1/(5+x)

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derivative of

ln (5 + x)

\frac{1}{5 + x}

Solution steps

\frac{d}{d x} (ln (5 + x))

Apply the chain rule:

\frac{1}{5 + x} \frac{d}{d x} (5 + x)

= \frac{1}{5 + x} \frac{d}{d x} (5 + x)

\frac{d}{d x} (5 + x) = 1

= \frac{1}{5 + x} \cdot 1

Simplify

= \frac{1}{5 + x}

\frac{\partial}{\partial x} (8 y^{5} + 8 y^{2} x^{7})

\frac{d}{d x} (\frac{20}{x + 1})

x \to + 0 lim (\frac{7}{x} - \frac{7}{x ^{2} - x})

x \to 0 lim (2 - \frac{1}{x ^{3}})

x \to 0 lim (2 - x)

What is the derivative of ln(5+x) ?
The derivative of ln(5+x) is 1/(5+x)
What is the first derivative of ln(5+x) ?
The first derivative of ln(5+x) is 1/(5+x)