What is the derivative of log_{10}(x+2) ?

The derivative of log_{10}(x+2) is 1/(ln(10)(x+2))

What is the first derivative of log_{10}(x+2) ?

The first derivative of log_{10}(x+2) is 1/(ln(10)(x+2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

lo g_{10} (x + 2)

\frac{1}{ln ( 10 ) ( x + 2 )}

Solution steps

\frac{d}{d x} (lo g_{10} (x + 2))

Apply log rule:

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

= \frac{d}{d x} (\frac{ln ( x + 2 )}{ln ( 10 )})

Take the constant out:

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

= \frac{1}{ln ( 10 )} \frac{d}{d x} (ln (x + 2))

Apply the chain rule:

\frac{1}{x + 2} \frac{d}{d x} (x + 2)

= \frac{1}{x + 2} \frac{d}{d x} (x + 2)

\frac{d}{d x} (x + 2) = 1

= \frac{1}{ln ( 10 )} \cdot \frac{1}{x + 2} \cdot 1

Simplify

\frac{1}{ln ( 10 )} \cdot \frac{1}{x + 2} \cdot 1 : \frac{1}{ln ( 10 ) ( x + 2 )}

= \frac{1}{ln ( 10 ) ( x + 2 )}

x^{2} y - 1

\frac{1}{2 sin ^{2} ( x )}

x^{3} ln^{4} (x)

(1 + x)^{\frac{1}{x}}

5 x + 2

What is the derivative of log_{10}(x+2) ?
The derivative of log_{10}(x+2) is 1/(ln(10)(x+2))
What is the first derivative of log_{10}(x+2) ?
The first derivative of log_{10}(x+2) is 1/(ln(10)(x+2))