What is the derivative of y=ln(-7x^6) ?

The derivative of y=ln(-7x^6) is 6/x

What is the first derivative of y=ln(-7x^6) ?

The first derivative of y=ln(-7x^6) is 6/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = ln (- 7 x^{6})

\frac{6}{x}

Solution steps

\frac{d}{d x} (ln (- 7 x^{6}))

Apply the chain rule:

\frac{1}{- 7 x ^{6}} \frac{d}{d x} (- 7 x^{6})

= \frac{1}{- 7 x ^{6}} \frac{d}{d x} (- 7 x^{6})

\frac{d}{d x} (- 7 x^{6}) = - 42 x^{5}

= \frac{1}{- 7 x ^{6}} (- 42 x^{5})

Simplify

\frac{1}{- 7 x ^{6}} (- 42 x^{5}) : \frac{6}{x}

= \frac{6}{x}

\frac{\partial}{\partial x} (x 1 + y^{5})

(50, 5119), (80, 7219)

\int e^{2 x} \cdot cos (3 x) d x

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

\frac{\partial}{\partial x} (4 y^{3} sin (6 x))

What is the derivative of y=ln(-7x^6) ?
The derivative of y=ln(-7x^6) is 6/x
What is the first derivative of y=ln(-7x^6) ?
The first derivative of y=ln(-7x^6) is 6/x