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Popular >

derivative of 2arcsin(x^2)

Solution

\frac{d}{d x} (2 arcsin (x^{2}))

Solution

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

Solution steps

\frac{d}{d x} (2 arcsin (x^{2}))

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

y^{^{'}} = - x (y + 1)

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x \to 0 lim (∣ x + 4 ∣)

integral of (3x+4)

\int (3 x + 4) d x

derivative of y=(7-x^2)(x^3-5x+2)derivative of

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d/(dK)((K^aL^{0.5})^{{Y}(K)})

\frac{d}{d K} ((K^{a} L^{0.5})^{Y (K)})

Frequently Asked Questions (FAQ)

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