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Popular >

derivative of arcsec(2x)

Solution

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

Solution

\frac{1}{x 4 x ^{2} - 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

limit as x approaches 2 of x^2+3

x \to 2 lim (x^{2} + 3)

integral from-2 to 2 of (2sqrt(4-x^2))^2

\int_{- 2}^{2} (2 4 - x^{2})^{2} d x

derivative of ((x^2-6x)/(x+1))

\frac{d}{d x} (\frac{( x ^{2} - 6 x )}{x + 1})

integral of xsqrt(x^2+9)

\int x x^{2} + 9 d x

integral of (e^x+2)^2

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

Frequently Asked Questions (FAQ)

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