What is the derivative of arcsin(2x) ?

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

What is the first derivative of arcsin(2x) ?

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

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derivative of

arcsin (2 x)

\frac{2}{1 - 4 x ^{2}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2}{1 - 4 x ^{2}}

\frac{\partial}{\partial y} (x y^{2} - x^{3} y)

\int 36 - t^{2} d t

\int x 2^{x} d x

f (x) = 2 x^{9} e x

\frac{d}{d x} (4 x + \frac{1}{x})

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