What is the derivative of log_{3}(4x) ?

The derivative of log_{3}(4x) is 1/(ln(3)x)

What is the first derivative of log_{3}(4x) ?

The first derivative of log_{3}(4x) is 1/(ln(3)x)

Popular >

\frac{d}{d x} (lo g_{3} (4 x))

\frac{1}{ln ( 3 ) x}

Solution steps

\frac{d}{d x} (lo g_{3} (4 x))

Apply log rule:

lo g_{a} (b) = \frac{ln ( b )}{ln ( a )}

= \frac{d}{d x} (\frac{ln ( 4 x )}{ln ( 3 )})

Take the constant out:

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

= \frac{1}{ln ( 3 )} \frac{d}{d x} (ln (4 x))

Apply the chain rule:

\frac{1}{4 x} \frac{d}{d x} (4 x)

= \frac{1}{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= \frac{1}{ln ( 3 )} \cdot \frac{1}{4 x} \cdot 4

Simplify

\frac{1}{ln ( 3 )} \cdot \frac{1}{4 x} \cdot 4 : \frac{1}{ln ( 3 ) x}

= \frac{1}{ln ( 3 ) x}

\frac{d}{d θ} (\frac{8}{2 + cot ( θ ) sin ( θ )})

\int \frac{1}{x ( ln ( x ) ) ^{4}} d x

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

y = (7 x + 3) x^{2}

cos (x) (\frac{π}{2})

What is the derivative of log_{3}(4x) ?
The derivative of log_{3}(4x) is 1/(ln(3)x)
What is the first derivative of log_{3}(4x) ?
The first derivative of log_{3}(4x) is 1/(ln(3)x)