Shared Flashcard Set

Details

Calculus I Flashcards-Derivatives
Derivatives
17
Mathematics
Undergraduate 1
10/13/2013
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
f(x)=arcsin(u)
 Definition
f'(x)=u'/sqrt(1-u^2)
Term
f(x)=arctan(u)
 Definition
f'(x)=u'/(1+u^2)
Term
f(x)=arcsec(u)
 Definition
f'(x)=u'/(|u|sqrt((u^2)-1))
Term
f(x)=arccos(u)
 Definition
f'(x)=-u'/sqrt(1-u^2)
Term
f(x)=arccot(u)
 Definition
f'(x)=-u'/(1+u^2)
Term
f(x)=arccsc(u)
 Definition
f'(x)=-u'/(|u|sqrt((u^2)-1))
Term
f(x)=e^u
 Definition
f'(x)=e^u * u'
Term
f(x)=ln (u)
 Definition
f'(x)=(1/u)*u'
Term
f(x)=x^n (Power rule)
 Definition
f'(x)=nx^(n-1)
Term
f(x)=sin(x)
 Definition
f'(x)=cos (x)
Term
f(x)=cos(x)
 Definition
f'(x)=-sin(x)
Term
f(x)=tan(x)
 Definition
f'(x)=sec^2(x)
Term
f(x)=sec(x)
 Definition
f'(x)=sec(x)tan(x)
Term
f(x)=cot(x)
 Definition
f'(x)=-csc^2(x)
Term
f(x)=csc(x)
 Definition
f'(x)=-csc(x)cot(x)
Term
f(x)=u/v (quotient rule)
 Definition
f'(x)=(vu'-uv')/v^2
(Low dhigh-high dlow)/(low low)
Term
f(x)=uv (product rule)
 Definition
f'(x)=uv'+v'u
(first times the derivative of the second plus the second times the derivative of the first)
Supporting users have an ad free experience!