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^3)

Solution

\frac{d}{d x} (arccos (x^{3}))

Solution

- \frac{3 x ^{2}}{1 - x ^{6}}

Solution steps

\frac{d}{d x} (arccos (x^{3}))

Apply the chain rule:

- \frac{1}{1 - ( x ^{3} ) ^{2}} \frac{d}{d x} (x^{3})

= - \frac{1}{1 - ( x ^{3} ) ^{2}} \frac{d}{d x} (x^{3})

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

= - \frac{1}{1 - ( x ^{3} ) ^{2}} \cdot 3 x^{2}

Simplify

- \frac{1}{1 - ( x ^{3} ) ^{2}} \cdot 3 x^{2} : - \frac{3 x ^{2}}{1 - x ^{6}}

= - \frac{3 x ^{2}}{1 - x ^{6}}

Popular Examples

derivative of 2*x^2

\frac{d}{d x} (2 \cdot x^{2})

inverse oflaplace ((s-2))/((s-3)(s+1))inverse laplace

\frac{( s - 2 )}{( s - 3 ) ( s + 1 )}

integral of (sin^7(4x))/(cos^4(4x))

\int \frac{sin ^{7} ( 4 x )}{cos ^{4} ( 4 x )} d x

limit as x approaches 0 of (sin(11x))/x

x \to 0 lim (\frac{sin ( 11 x )}{x})

derivative of (arcsin(x))^{e^{-x}}derivative of

(arcsin (x))^{e^{- x}}

Frequently Asked Questions (FAQ)

What is the derivative of arccos(x^3) ?
The derivative of arccos(x^3) is -(3x^2)/(sqrt(1-x^6))
What is the first derivative of arccos(x^3) ?
The first derivative of arccos(x^3) is -(3x^2)/(sqrt(1-x^6))