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Level 451

Inverse Trigonometric Derivative Formulas


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ARCSINE
1/√(1-u²) × u'
ARCCOSINE
-1/√(1-u²) × u'
ARCTANGENT
1/(1+u²) × u'
ARCCOTANGENT
-1/(1+u²) × u'
ARCSECANT
1/|u|√(u²-1) × u'
ARCCOSECANT
-1/|u|√(u²-1) × u'
e^u
e^u × u'
a^u
a^u lna x u'
lnu
1/u x u'
log₁u
1/(uln1) x u'
(d/dx) sin⁻¹(x)
1 / √( 1 - x² )
(d/dx) cos⁻¹(x)
-1 / √( 1 - x² )
(d/dx) tan⁻¹(x)
1 / 1 + x²
(d/dx) csc⁻¹(x)
-1 / x√(x² - 1)
(d/dx) sec⁻¹(x)
1 / x√(x² - 1)
(d/dx) cot⁻¹(x)
-1 / 1 + x²