Barrons AP Calculus - David Bock

(dmanu) #1

  1. r = θ, (double) spiral of Archimedes

  2. rθ = a (θ > 0), hyperbolic (or reciprocal) spiral


EXPONENTIAL AND LOGARITHMIC FUNCTIONS

PROPERTIES

INVERSE PROPERTIES

f (x) = ex and f −1(x) = ln x are inverses of each other:
f −1(f (x)) = f (f −1(x)) = x;
ln ex = eln x = x(x > 0).
GRAPHS
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