Categorieën: Alle - exponential - inverse - derivatives - functions

door Aleksandr Moroz 11 jaren geleden

240

VM266 6098

The material delves into various mathematical concepts, focusing on the intricacies of inverse functions, logarithmic rules, and their applications. It explains how to find derivatives of inverse functions and the properties of logarithmic expressions, including the fundamental relationships between logarithms and exponentials.

VM266 6098

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