What is the derivative of 7xarcsin(x) ?

The derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))

What is the first derivative of 7xarcsin(x) ?

The first derivative of 7xarcsin(x) is 7(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 >

derivative of

7 x arcsin (x)

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

Solution steps

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

Take the constant out:

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

= 7 \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)

= 7 (\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}}

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

Simplify

7 (1 \cdot arcsin (x) + \frac{1}{1 - x ^{2}} x) : 7 (arcsin (x) + \frac{x}{1 - x ^{2}})

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

x \to 1 lim (\frac{ln ( x )}{1 - x})

\frac{d}{d x} (16 - x^{2} + 64)

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

\int_{0}^{1} \frac{( x - 1 )}{( x + 1 )} d x

\int 9 x^{2} e^{x} d x

What is the derivative of 7xarcsin(x) ?
The derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))
What is the first derivative of 7xarcsin(x) ?
The first derivative of 7xarcsin(x) is 7(arcsin(x)+x/(sqrt(1-x^2)))