Studied by 20 peoplepower rule
y=cx^n y’=ncx^(n-1)
product rule
y’=fg’ + gf’
quotient rule
(gf’-fg’)/(g²)
chain rule
f’(g(x))g’
y=sin(u)
y’=acos(u)
y=cos(u)
y’=-asin(u)
y=tan(u)
y’=asec²x
y=csc(u)
y’=-acotxcscx
y=sec(u)
y’=asecxtanx
y=cot(u)
y’=acsc²x
differential definition
f’(x)=lim f(x+h)-f(x)
h>0 h
distances formula
((x-x)²+(y-y)²)^1/2
arcsin(u)
1/(1-u²)^1/2
arccos(u)
-1/(1-u²)^1/2
arctan(u)
1/(1+u²)
Note
Flashcard