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Popular >

derivative of tan(arccos(x))

Solution

\frac{d}{d x} (tan (arccos (x)))

Solution

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

Solution steps

\frac{d}{d x} (tan (arccos (x)))

Apply the chain rule:

sec^{2} (arccos (x)) \frac{d}{d x} (arccos (x))

= sec^{2} (arccos (x)) \frac{d}{d x} (arccos (x))

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

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

Simplify

sec^{2} (arccos (x)) (- \frac{1}{1 - x ^{2}}) : - \frac{1}{x ^{2} 1 - x ^{2}}

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

Popular Examples

integral from 0 to 1 of (x+1)^3

\int_{0}^{1} (x + 1)^{3} d x

limit as x approaches-1 of 2-3x

x \to - 1 lim (2 - 3 x)

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x \to \infty lim (8 - 2 x)

(\partial)/(\partial y)(x^2+y^2-1)

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

derivative of-(14/(x^6))

\frac{d}{d x} (- \frac{14}{x ^{6}})

Frequently Asked Questions (FAQ)

What is the derivative of tan(arccos(x)) ?
The derivative of tan(arccos(x)) is -1/(x^2sqrt(1-x^2))
What is the first derivative of tan(arccos(x)) ?
The first derivative of tan(arccos(x)) is -1/(x^2sqrt(1-x^2))