What is the derivative of y=2arcsin(sqrt(3x)) ?

The derivative of y=2arcsin(sqrt(3x)) is (sqrt(3))/(sqrt(x)\sqrt{1-3x)}

What is the first derivative of y=2arcsin(sqrt(3x)) ?

The first derivative of y=2arcsin(sqrt(3x)) is (sqrt(3))/(sqrt(x)\sqrt{1-3x)}

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derivative of

y = 2 arcsin (3 x)

\frac{3}{x 1 - 3 x}

Solution steps

\frac{d}{d x} (2 arcsin (3 x))

Simplify

2 arcsin (3 x) : 2 arcsin (3 x)

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{3}{x 1 - 3 x}

\int 24 x (6 - x^{2})^{\frac{1}{3}} d x

f (x) = (x + 1) e^{x}

x^{2} + 1, 5

x^{2} + 11

\frac{c}{x} + \frac{2 a}{x ^{3}} + 8

What is the derivative of y=2arcsin(sqrt(3x)) ?
The derivative of y=2arcsin(sqrt(3x)) is (sqrt(3))/(sqrt(x)\sqrt{1-3x)}
What is the first derivative of y=2arcsin(sqrt(3x)) ?
The first derivative of y=2arcsin(sqrt(3x)) is (sqrt(3))/(sqrt(x)\sqrt{1-3x)}