What is the derivative of 5arcsin(x^4) ?

The derivative of 5arcsin(x^4) is (20x^3)/(sqrt(1-x^8))

What is the first derivative of 5arcsin(x^4) ?

The first derivative of 5arcsin(x^4) is (20x^3)/(sqrt(1-x^8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (5 arcsin (x^{4}))

\frac{20 x ^{3}}{1 - x ^{8}}

Solution steps

\frac{d}{d x} (5 arcsin (x^{4}))

Take the constant out:

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

= 5 \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}

= 5 \cdot \frac{1}{1 - ( x ^{4} ) ^{2}} \cdot 4 x^{3}

Simplify

5 \cdot \frac{1}{1 - ( x ^{4} ) ^{2}} \cdot 4 x^{3} : \frac{20 x ^{3}}{1 - x ^{8}}

= \frac{20 x ^{3}}{1 - x ^{8}}

\int 23 e^{39 x} d x

\frac{8}{8 x + 9}

\frac{d y}{d x} + 6 y = 8

2 y^{^{''}} + 18 y = 6 tan (3 t)

\frac{d y}{d x} = - \frac{2 y}{8 x}

What is the derivative of 5arcsin(x^4) ?
The derivative of 5arcsin(x^4) is (20x^3)/(sqrt(1-x^8))
What is the first derivative of 5arcsin(x^4) ?
The first derivative of 5arcsin(x^4) is (20x^3)/(sqrt(1-x^8))