AP Calc AB Unit 2B Formulas
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10 Terms
1
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d/dx of an Inverse Function
g’(x) = 1/f’(g(x))
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d/dx arcsinu
du/(1-u²)
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d/dx arccosu
-du/(1-u²)^1/2
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d/dx arctanu
du/1+u²
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d/dx arccotu
-du/1+u²
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d/dx arcsecu
du/|u|(u²-1)^1/2
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d/dx arccscu
-du/|u|(u²-1)^1/2
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Derivative of an exponential function
d/dx = a^u lna du/dx
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Derivative of the natural logarithm
d/dx (lnu) = 1/u du/dx = u’/u
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Derivative of log>2 x
d/dx (log>a u) = 1/ulna du/dx