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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (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}

\frac{d}{d x} (\frac{4}{3} x^{3} - 4 x^{2} - 60 x + 10)

x^{\frac{1}{4}}, 2 - x, 0

y = 3 e^{x}

f (x) = x^{3} - 3 x^{2} + 1, at x = 2

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

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