What is the derivative of f(x)=arcsin(2x) ?

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

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

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

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derivative of

f (x) = 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{d}{d x} (\frac{arccos ( x )}{x ^{2}})

x \to 0 lim (\frac{4 81 + x - 3}{x})

\int_{1}^{2} x^{2} - 3 x + 2 d x

\frac{d}{d x} (e^{2 l n (3 x)})

6 y

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