What is the derivative of ln(1+10x) ?

The derivative of ln(1+10x) is (10)/(1+10x)

What is the first derivative of ln(1+10x) ?

The first derivative of ln(1+10x) is (10)/(1+10x)

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\frac{d}{d x} (ln (1 + 10 x))

\frac{10}{1 + 10 x}

Solution steps

\frac{d}{d x} (ln (1 + 10 x))

Apply the chain rule:

\frac{1}{1 + 10 x} \frac{d}{d x} (1 + 10 x)

= \frac{1}{1 + 10 x} \frac{d}{d x} (1 + 10 x)

\frac{d}{d x} (1 + 10 x) = 10

= \frac{1}{1 + 10 x} \cdot 10

Simplify

\frac{1}{1 + 10 x} \cdot 10 : \frac{10}{1 + 10 x}

= \frac{10}{1 + 10 x}

x \to 4 + lim (2 x)

x \to 0 + lim (cot (x))

\int_{0}^{2} (2 x + 5) d x

(0^{2} e^{0 + 3})^{^{'}}

What is the derivative of ln(1+10x) ?
The derivative of ln(1+10x) is (10)/(1+10x)
What is the first derivative of ln(1+10x) ?
The first derivative of ln(1+10x) is (10)/(1+10x)