VM266 6098

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L1TM

par P F

typo3_doc_tsref

par David Lanier

Math

par Igal Brener

MATH 171 (Chapter Summary)

par Cindy Shin

Calc2

Logarithmic Functions 7.3

log(a)x = lnx/lna

log(a)x^r = rlog(a)x

log(a)(x/y) = log(a)x - log(a)y

log(a) (xy) = log(a)x + log(a) y

e^(lnx) = x (x is from 0 to inf)

ln(e^x) = x

Exponential Functions and Their Derivatives 7.2

ln x = integ(1 -> x) 1/x dt

d/dx (e^x) = e^x

definition of e lim(h->0) (e^h - 1)/h = 1

Inverse Functions 7.1

(f-1)'(a) = 1/(f'(f-1)(a))

(f-1)(f(x)) = x

Main topic

Derivatives of Logarithmic Functions 7.4

Trigonometry I tend to forget

Subtopic