d/dx[sin-1u]
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Calculus
AP Calculus AB
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
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u’/√1-u2
d/dx[cos-1u]
-u’/√1-u2
d/dx[tan-1u]
u’/1+u2
d/dx[cot-1u]
-u’/1+u2
d/dx(eu)
eu • u’
d/dx(bx)
bxln(x)
d/dx(bu)
buln(b) • u’
d/dx(ln u)
1/u • u’
d/dx(logb(x))
1/xln(b)
d/dx(logb(u))
1/uln(b) • u’