What is the derivative of f(x)=ln(8x) ?

The derivative of f(x)=ln(8x) is 1/x

What is the first derivative of f(x)=ln(8x) ?

The first derivative of f(x)=ln(8x) is 1/x

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derivative of

f (x) = ln (8 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (8 x))

Apply the chain rule:

\frac{1}{8 x} \frac{d}{d x} (8 x)

= \frac{1}{8 x} \frac{d}{d x} (8 x)

\frac{d}{d x} (8 x) = 8

= \frac{1}{8 x} \cdot 8

Simplify

\frac{1}{8 x} \cdot 8 : \frac{1}{x}

= \frac{1}{x}

\int 8 (x + 1) d x

\int \frac{( x ^{5} - 2 x ^{2} )}{( 1 + x ^{3} ) ^{\frac{3}{2}}} d x

f (x) = \frac{1}{x + 1}

f (x) = x^{2} + 4, (- 4, 20)

What is the derivative of f(x)=ln(8x) ?
The derivative of f(x)=ln(8x) is 1/x
What is the first derivative of f(x)=ln(8x) ?
The first derivative of f(x)=ln(8x) is 1/x