en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arccos(-x/5)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

(sin(x)-ysin(x)-2cos(x))+cos(x)y^'=0,y(0)=-1

(sin (x) - y sin (x) - 2 cos (x)) + cos (x) y^{^{'}} = 0, y (0) = - 1

derivative of-11sin(x)

\frac{d}{d x} (- 11 sin (x))

limit as x approaches-4-of x/(x+4)

x \to - 4 - lim (\frac{x}{x + 4})

integral of 5/(3+x^2)

\int \frac{5}{3 + x ^{2}} d x

derivative of f(x)=x^2-5x+5 derivative of

f (x) = x^{2} - 5 x + 5

Frequently Asked Questions (FAQ)

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