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Popular >

derivative of arcsec(x^2)

Solution

derivative of

arcsec (x^{2})

Solution

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

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}) = 2 x

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

Simplify

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

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

Popular Examples

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\int_{- \infty}^{0} \frac{1}{7 - 8 x} d x

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x \to + 2 - lim (c x^{2} + 6 x)

integral of (x^2)/((x-2))

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

derivative of y=2x^4 derivative of

y = 2 x^{4}

laplacetransform te^{-t}sin(5t)laplace transform

t e^{- t} sin (5 t)

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x^2) ?
The derivative of arcsec(x^2) is (2x)/(sqrt(x^4)\sqrt{x^4-1)}
What is the first derivative of arcsec(x^2) ?
The first derivative of arcsec(x^2) is (2x)/(sqrt(x^4)\sqrt{x^4-1)}