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Popular >

derivative of sin(2arcsec(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

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- 4 e^{(- 2 s)} \cdot \frac{1}{s - 3}

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x^{(3)} + a \cdot x^{(2)} + b \cdot x + c

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\frac{d}{d x} (2 x - 9)

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

simplify x/5+(sqrt(x^2-100x+6100))/(1.1)simplify

\frac{x}{5} + \frac{x ^{2} - 100 x + 6100}{1.1}

Frequently Asked Questions (FAQ)

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