What is the derivative of (15)/(ln(x)) ?

The derivative of (15)/(ln(x)) is -(15)/(xln^2(x))

What is the first derivative of (15)/(ln(x)) ?

The first derivative of (15)/(ln(x)) is -(15)/(xln^2(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{15}{ln ( x )}

- \frac{15}{x ln ^{2} ( x )}

Solution steps

\frac{d}{d x} (\frac{15}{ln ( x )})

Take the constant out:

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

= 15 \frac{d}{d x} (\frac{1}{ln ( x )})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 15 \frac{d}{d x} (ln^{- 1} (x))

Apply the chain rule:

- \frac{1}{( ln ( x ) ) ^{2}} \frac{d}{d x} (ln (x))

= - \frac{1}{( ln ( x ) ) ^{2}} \frac{d}{d x} (ln (x))

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

= 15 (- \frac{1}{( ln ( x ) ) ^{2}} \cdot \frac{1}{x})

Simplify

15 (- \frac{1}{ln ^{2} ( x )} \cdot \frac{1}{x}) : - \frac{15}{x ln ^{2} ( x )}

= - \frac{15}{x ln ^{2} ( x )}

\int r^{4} d r

\frac{d}{d x} (2^{x^{2} - 1})

\frac{\partial}{\partial x} (\frac{F ( c , x , b ) \cdot cos ( c )}{x \cdot b})

\frac{d}{d x} (sin (2 cos (x)))

\frac{d}{d x} (\frac{4 x ^{5}}{( 2 x ^{3} - 2 ) ^{3}})

What is the derivative of (15)/(ln(x)) ?
The derivative of (15)/(ln(x)) is -(15)/(xln^2(x))
What is the first derivative of (15)/(ln(x)) ?
The first derivative of (15)/(ln(x)) is -(15)/(xln^2(x))