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Popular >

derivative of sin(2arcsin(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Graph

Popular Examples

limit as x approaches 0 of x-4/x

x \to 0 lim (x - \frac{4}{x})

(2y+3x)dx+xdy=0

(2 y + 3 x) d x + x d y = 0

integral of (2+x^6)^86x^5

\int (2 + x^{6})^{8} 6 x^{5} d x

integral of ((x^3-6x+5)/x)

\int (\frac{x ^{3} - 6 x + 5}{x}) d x

derivative of tan(Inx)

\frac{d}{d x} (tan (I n x))

Frequently Asked Questions (FAQ)

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