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Popular >

derivative of arcsin(1-2x^2)

Solution

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

Solution

- \frac{2 2}{- 2 x ^{2} + 2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (1 - 2 x^{2}) = - 4 x

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

Simplify

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

= - \frac{2 2}{- 2 x ^{2} + 2}

Popular Examples

derivative of e^x+x^2

\frac{d}{d x} (e^{x} + x^{2})

d/(dy)(ycos(x))

\frac{d}{d y} (y cos (x))

(\partial)/(\partial x)(45-x^2-y^2)

\frac{\partial}{\partial x} (45 - x^{2} - y^{2})

derivative of sin(2x-2pi)

\frac{d}{d x} (sin (2 x - 2 π))

integral of 1/(x^2+2x+5)

\int \frac{1}{x ^{2} + 2 x + 5} d x

Frequently Asked Questions (FAQ)

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