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Chapter 5--AP Calculus AB Flashcards

Logarithmic, exponential, and other transcendental functions...

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1259023286ln (1)ZERO0
1259023287ln (0)UNDEFINED1
1259023288ln (ab) expanded isln (a) + ln (b)2
1259023289ln (a^n) expanded isnln (a)3
1259023290ln (a/b) expanded isln (a) - ln (b)4
1259023291d/dx [ln x]1/x5
1259023292d/dx [ln u]u'/u or (1/u)(du)6
1259023293d/dx [ln |u|]u'/u or (1/u)(du)7
1259023294integral of (1/x)dxln |x| + C8
1259023295integral of (1/u)duln |u| + C9
1259023296g'(x) [derivative of the inverse function]1/f'(g(x))10
1259023297ln (e^x)x11
1259023298e^ln(x)x12
1259023299(e^a)(e^b) expanded ise^(a+b)13
1259023300(e^a)/(e^b) expanded ise^(a-b)14
1259023301d/dx [e^x]e^x15
1259023302d/dx [e^u](e^u)(u')16
1259023303integral of (e^x)dxe^x + C17
1259023304integral of (e^u)due^u + C18
1259023305d/dx [a^x]ln(a) * a^x19
1259023306d/dx [a^u]ln(a) * a^u * u'20
1259023307d/dx [log base a to the x]1/(lna * x)21
1259023308d/dx [log base a to the u]1/(lna * u) * u'22
1259023309in a log equation, b or a is the ___, x is the ____, and y is the ____base, answer, exponent23
1259023310integral of (a^x)dx(1/lna) * a^x + C24

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