What is the derivative of ln(3x^5) ?

The derivative of ln(3x^5) is 5/x

What is the first derivative of ln(3x^5) ?

The first derivative of ln(3x^5) is 5/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

ln (3 x^{5})

\frac{5}{x}

Solution steps

\frac{d}{d x} (ln (3 x^{5}))

Apply the chain rule:

\frac{1}{3 x ^{5}} \frac{d}{d x} (3 x^{5})

= \frac{1}{3 x ^{5}} \frac{d}{d x} (3 x^{5})

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

= \frac{1}{3 x ^{5}} \cdot 15 x^{4}

Simplify

\frac{1}{3 x ^{5}} \cdot 15 x^{4} : \frac{5}{x}

= \frac{5}{x}

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

\frac{d y}{d t} = \frac{( y + 3 )}{( 1 - y )}

\int 2 csc (x) cot (x) d x

\int 11 θ tan^{2} (θ) d θ

\frac{\partial}{\partial x} (- \frac{2}{3} x - \frac{1}{3} y + 2)

What is the derivative of ln(3x^5) ?
The derivative of ln(3x^5) is 5/x
What is the first derivative of ln(3x^5) ?
The first derivative of ln(3x^5) is 5/x