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Popular >

d/(dt)(arcsin(sqrt(2t)))

Solution

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

Solution

\frac{1}{2 t 1 - 2 t}

Solution steps

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

Simplify

arcsin (2 t) : arcsin (2 t)

= \frac{d}{d t} (arcsin (2 t))

Apply the chain rule:

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

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

\frac{d}{d t} (2 t) = \frac{1}{2 t}

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

Simplify

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

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

Popular Examples

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\frac{d}{d x} (\frac{x ^{4}}{5})

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f (x) = - x^{3} - 3 x^{2} - 3, at x = - 3

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

integral of (2.286x-2.5(x-3)-3(x-5))

\int (2.286 x - 2.5 (x - 3) - 3 (x - 5)) d x

derivative of-6e^{-x^2}x derivative of

- 6 e^{- x^{2}} x

Frequently Asked Questions (FAQ)

What is the d/(dt)(arcsin(sqrt(2t))) ?
The d/(dt)(arcsin(sqrt(2t))) is 1/(sqrt(2)\sqrt{t)sqrt(1-2t)}
What is the first d/(dt)(arcsin(sqrt(2t))) ?
The first d/(dt)(arcsin(sqrt(2t))) is 1/(sqrt(2)\sqrt{t)sqrt(1-2t)}