What is the derivative of f(x)=ln(10x) ?

The derivative of f(x)=ln(10x) is 1/x

What is the first derivative of f(x)=ln(10x) ?

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

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derivative of

f (x) = ln (10 x)

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

e^{5 x + 5}

x \to - \infty lim (x^{2} - x)

y = \frac{3 x ^{5} + 9}{x ^{3}}

\frac{s ^{2} - 1}{( s - 2 ) ^{6}}

\frac{d y}{d x} + 20 y = sin (x)

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