AP Calc AB Inverse Derivatives + More

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6 Terms

1
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[arcsin u]

The derivative of \arcsin u with respect to x is: \frac{u'}{\sqrt{1-u^2}}

2
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[arcsec u]

The derivative of \operatorname{arcsec} u with respect to x is: \frac{u'}{|u|\sqrt{u^2-1}}

3
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[arccot u]

The derivative of \operatorname{arccot} u with respect to x is: -\frac{u'}{1+u^2}

4
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[arctan u]

The derivative of \arctan u with respect to x is: \frac{u'}{1+u^2}

5
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[arccos u]

The derivative of \arccos u with respect to x is: -\frac{u'}{\sqrt{1-u^2}}

6
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[arccsc u]

The derivative of \operatorname{arccsc} u with respect to x is: -\frac{u'}{|u|\sqrt{u^2-1}}