What is the (arcsin(sqrt(x)))^' ?

The (arcsin(sqrt(x)))^' is 1/(2sqrt(x)\sqrt{1-x)}

What is the first (arcsin(sqrt(x)))^' ?

The first (arcsin(sqrt(x)))^' is 1/(2sqrt(x)\sqrt{1-x)}

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(arcsin (x))^{^{'}}

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

Solution steps

(arcsin (x))^{'}

Apply the chain rule:

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

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

(x)^{'} = \frac{1}{2 x}

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

Simplify

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

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

\int \frac{1}{2} - \frac{1}{4} ∣ x - 3 ∣ d x

y = (3 x + \frac{1}{x})^{2}, (1, 16)

\int sec^{2} (x) (cos^{3} (x) + 1) d x

x \to 1 + lim (ln (x - 1))

\int_{0}^{\infty} e^{- 4 t} d t

What is the (arcsin(sqrt(x)))^' ?
The (arcsin(sqrt(x)))^' is 1/(2sqrt(x)\sqrt{1-x)}
What is the first (arcsin(sqrt(x)))^' ?
The first (arcsin(sqrt(x)))^' is 1/(2sqrt(x)\sqrt{1-x)}