en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 6arcsin(x^4)

Solution

\frac{d}{d x} (6 arcsin (x^{4}))

Solution

\frac{24 x ^{3}}{1 - x ^{8}}

Solution steps

\frac{d}{d x} (6 arcsin (x^{4}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (arcsin (x^{4}))

Apply the chain rule:

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

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

\frac{d}{d x} (x^{4}) = 4 x^{3}

= 6 \cdot \frac{1}{1 - ( x ^{4} ) ^{2}} \cdot 4 x^{3}

Simplify

6 \cdot \frac{1}{1 - ( x ^{4} ) ^{2}} \cdot 4 x^{3} : \frac{24 x ^{3}}{1 - x ^{8}}

= \frac{24 x ^{3}}{1 - x ^{8}}

Popular Examples

(dy)/(dx)=x+5y,y(0)=3

\frac{d y}{d x} = x + 5 y, y (0) = 3

limit as x approaches 0 of cos^{3/(x^2)}(2x)

x \to 0 lim (cos^{\frac{3}{x ^{2}}} (2 x))

\frac{d y}{d x} = y^{2}

derivative of f(x)= 6/(3x+1),\at a=-1 derivative of

f (x) = \frac{6}{3 x + 1}, at a = - 1

integral of (sqrt(x))/(1+sqrt(x))

\int \frac{x}{1 + x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 6arcsin(x^4) ?
The derivative of 6arcsin(x^4) is (24x^3)/(sqrt(1-x^8))
What is the first derivative of 6arcsin(x^4) ?
The first derivative of 6arcsin(x^4) is (24x^3)/(sqrt(1-x^8))