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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}} \cdot 4 x

Simplify

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

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

Popular Examples

integral of 8sin(x)cos(x)

\int 8 sin (x) cos (x) d x

derivative of-4e^{2x}

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

limit as x approaches 2 of 1/(2-x)

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

(\partial)/(\partial x)(1(x-y)e^{1y+4x^2})

\frac{\partial}{\partial x} (1 (x - y) e^{1 y + 4 x^{2}})

integral of sinh(3-4x)

\int sinh (3 - 4 x) 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))