What is the derivative of 4xarcsin(x) ?

The derivative of 4xarcsin(x) is 4(arcsin(x)+x/(sqrt(1-x^2)))

What is the first derivative of 4xarcsin(x) ?

The first derivative of 4xarcsin(x) is 4(arcsin(x)+x/(sqrt(1-x^2)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = arcsin (x)

= 4 (\frac{d x}{d x} arcsin (x) + \frac{d}{d x} (arcsin (x)) x)

\frac{d x}{d x} = 1

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

= 4 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x)

Simplify

4 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x) : 4 (arcsin (x) + \frac{x}{1 - x ^{2}})

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

\frac{d}{d x} (\frac{ln ( 1 )}{x})

\frac{\partial}{\partial x} (2 e^{y} sin (- 3 x) - 4 y + x y)

7 (ln (y)) y^{^{'}} - x^{3} y = 0

\frac{e ^{- 2 s}}{s ( s + 1.1 )}

\int_{0}^{1} x sin (π x) d x

What is the derivative of 4xarcsin(x) ?
The derivative of 4xarcsin(x) is 4(arcsin(x)+x/(sqrt(1-x^2)))
What is the first derivative of 4xarcsin(x) ?
The first derivative of 4xarcsin(x) is 4(arcsin(x)+x/(sqrt(1-x^2)))