What is the derivative of arccos(5x) ?

The derivative of arccos(5x) is -5/(sqrt(1-25x^2))

What is the first derivative of arccos(5x) ?

The first derivative of arccos(5x) is -5/(sqrt(1-25x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (arccos (5 x))

- \frac{5}{1 - 25 x ^{2}}

Solution steps

\frac{d}{d x} (arccos (5 x))

Apply the chain rule:

- \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

= - \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= - \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5

Simplify

- \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5 : - \frac{5}{1 - 25 x ^{2}}

= - \frac{5}{1 - 25 x ^{2}}

\frac{\partial}{\partial x} (4 - x^{2} - 2 y)

\int (\frac{1}{4 x ^{2}}) d x

9 x, \frac{3}{4} x, 70 - x^{2}

g (x) = 3 x^{2} lo g_{3} (x)

\frac{d}{d x} (\frac{x ^{3}}{e ^{2 x}})

What is the derivative of arccos(5x) ?
The derivative of arccos(5x) is -5/(sqrt(1-25x^2))
What is the first derivative of arccos(5x) ?
The first derivative of arccos(5x) is -5/(sqrt(1-25x^2))