en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arccos(7/x)

Solution

\frac{d}{d x} (arccos (\frac{7}{x}))

Solution

\frac{7}{x x ^{2} - 49}

Solution steps

\frac{d}{d x} (arccos (\frac{7}{x}))

Apply the chain rule:

- \frac{1}{1 - ( \frac{7}{x} ) ^{2}} \frac{d}{d x} (\frac{7}{x})

= - \frac{1}{1 - ( \frac{7}{x} ) ^{2}} \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= - \frac{1}{1 - ( \frac{7}{x} ) ^{2}} (- \frac{7}{x ^{2}})

Simplify

- \frac{1}{1 - ( \frac{7}{x} ) ^{2}} (- \frac{7}{x ^{2}}) : \frac{7}{x x ^{2} - 49}

= \frac{7}{x x ^{2} - 49}

Popular Examples

derivative of y=x4^{x+9}derivative of

y = x 4^{x + 9}

limit as x approaches infinity of-2e^{-x}

x \to \infty lim (- 2 e^{- x})

integral of 4/(3x^2sqrt(5-7x^2))

\int \frac{4}{3 x ^{2} 5 - 7 x ^{2}} d x

derivative of (4x/(3-cot(x)))

\frac{d}{d x} (\frac{4 x}{3 - cot ( x )})

f (x) = 6 ln (x)

Frequently Asked Questions (FAQ)

What is the derivative of arccos(7/x) ?
The derivative of arccos(7/x) is 7/(xsqrt(x^2-49))
What is the first derivative of arccos(7/x) ?
The first derivative of arccos(7/x) is 7/(xsqrt(x^2-49))