Kategorier: Alla - exponential - function - real - positive

av Francisco Solorio för 11 årar sedan

202

VM266 8437

The natural exponential function is a fundamental concept in calculus, involving the mathematical constant e, approximately equal to 2.71828. This function is closely linked with the natural logarithm, denoted as ln, which is the inverse operation of the exponential function.

 VM266 8437

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