VM266 8437

Honelako gehiago

UTSC Department of Management

Stephanie Perpick‑k egina

Differential Equations and Linear Algebra

Caleb Guanzon‑k egina

present continius

izan segarra‑k egina

resistant materials

Bradley Kusumo‑k egina

CALCULUS

INTEGRALS

v

THE NATURAL EXPONENTIAL FUNCTION

Dxe^u=e^uDxu

If u=g(x) and g is differentiable.

e^X=Y if and only if lnY=X

If X is any realnumber

The letter e denotes the poss. real mumber

lne=1

e~2.71828

to every real number X there corresponds exactly one positive real number Y such that lnY=X

Subtopic

lim as X appr. zero from the right, lnX= -infinity

X<0

lim as X appr. infinity, lnX=infinity

when X>0

Main topic