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

The derivative of log_{4}(x) is 1/(2ln(2)x)

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

The first derivative of log_{4}(x) is 1/(2ln(2)x)

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derivative of

lo g_{4} (x)

\frac{1}{2 ln ( 2 ) x}

Solution steps

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

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

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

Simplify

ln (4) : 2 ln (2)

= \frac{1}{2 ln ( 2 ) x}

x \to 0 lim (e^{- c o t (x)})

f (2) = 3 - x^{2}

f (x) = \frac{2}{x ^{2}}

\int_{1}^{3} f (x) d x

\frac{d}{d x} (csc^{2} (2 x) - csc (2 x^{2}))

What is the derivative of log_{4}(x) ?
The derivative of log_{4}(x) is 1/(2ln(2)x)
What is the first derivative of log_{4}(x) ?
The first derivative of log_{4}(x) is 1/(2ln(2)x)