What is the derivative of 4arcsin(x) ?

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

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

\frac{d y}{d x} = 2 x (1 + y)

\int 3 x^{2} d x

\frac{\partial}{\partial y} (ln (1 + x y))

\int \frac{1}{x ^{2} + 4 x + 1} d x

\frac{\partial}{\partial x} (5 x y (9 - x - y))

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