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Popular >

derivative of arcsec(x+2)

Solution

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

Solution

\frac{1}{( x + 2 ) x ^{2} + 4 x + 3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 2) = 1

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

Simplify

\frac{1}{( x + 2 ) ^{2} ( x + 2 ) ^{2} - 1} \cdot 1 : \frac{1}{( x + 2 ) x ^{2} + 4 x + 3}

= \frac{1}{( x + 2 ) x ^{2} + 4 x + 3}

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

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\int (2 x^{3} - \frac{2}{3} x^{2} + 5 x) d x

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\int \frac{1}{x ^{2} + 20 x} d x

(\partial)/(\partial x)(2x-sqrt(3y^2+z^2))

\frac{\partial}{\partial x} (2 x - 3 y^{2} + z^{2})

derivative of (14/(x^3))

\frac{d}{d x} (\frac{14}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x+2) ?
The derivative of arcsec(x+2) is 1/((x+2)sqrt(x^2+4x+3))
What is the first derivative of arcsec(x+2) ?
The first derivative of arcsec(x+2) is 1/((x+2)sqrt(x^2+4x+3))