What is the derivative of-4*arcsin(x) ?

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

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

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

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derivative of

- 4 \cdot 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}}

\int \frac{x ^{3} + 2 x ^{2} - 4}{x ^{2}} d x

\int \frac{1}{2 x - 2 x} d x

x \to 0 lim (ln (e^{x} - 1))

\frac{1}{( x - 1 )}, at x = 2

x \to 1 + lim (\frac{x}{x ^{2} - 1})

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