What is the derivative of log_{9}(x) ?

The derivative of log_{9}(x) is 1/(2ln(3)x)

What is the first derivative of log_{9}(x) ?

The first derivative of log_{9}(x) is 1/(2ln(3)x)

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\frac{d}{d x} (lo g_{9} (x))

\frac{1}{2 ln ( 3 ) x}

Solution steps

\frac{d}{d x} (lo g_{9} (x))

Apply the derivative log rule:

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

= \frac{1}{x ln ( 9 )}

Simplify

ln (9) : 2 ln (3)

= \frac{1}{2 ln ( 3 ) x}

n = 1 \sum \infty (cos (1))^{n}

d u = \frac{1}{2 x} d x

\frac{7 e ^{s} s - 6 e ^{s}}{( 7 s + 1 ) ^{2}}

x \to 81 lim (\frac{x ^{2}}{9} - \frac{9}{x})

\frac{\partial}{\partial s} (3 s t)

What is the derivative of log_{9}(x) ?
The derivative of log_{9}(x) is 1/(2ln(3)x)
What is the first derivative of log_{9}(x) ?
The first derivative of log_{9}(x) is 1/(2ln(3)x)