Shared Flashcard Set

Details

Calculus: Differentiation Rules
Rules/shortcuts for finding the derivatives of functions.
24
Mathematics
11th Grade
10/26/2010
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
d/dx[c]=?
 Definition
0
Term
d/dx[x^n]=?
 Definition
nx^(n-1)
Term
d/dx[k*f(x)]=?
 Definition
k*d/dx[f(x)]
Term
d/dx[f(x)+/-g(x)]=?
 Definition
d/dx[f(x)]+/-dy/dx[g(x)]
Term
d/dx[f(x)*g(x)]=?
 Definition
g(x)*f'(x)+g'(x)*f(x)
Term
d/dx[f(x)/g(x)]=?
 Definition
(g(x)*f'(x)-g'(x)*f(x))/[g(x)]^2
Term
d/dx[f(g(x))]=?
 Definition
f'(g(x))*g'(x)*x'
Term
d/dx(e^u)=?
 Definition
e^u*u'
Term
d/dx[ln(u)]=?
 Definition
u'/u
Term
d/dx[ln|u|]=?
 Definition
u'/|u|
Term
d/dx[a^u]=?
 Definition
(a^u)*ln(a)*u'
Term
d/dx[log(a^u)]=?
 Definition
u'/(ln(a)*u)
Term
d/dx[sinx]=?
 Definition
cos(x)
Term
d/dx[tan(x)]=?
 Definition
sec^2(x)
Term
d/dx[sec(x)]=?
 Definition
sec(x)tan(x)
Term
d/dx[cosx]=?
 Definition
-sin(x)
Term
d/dx[cot(x)]=?
 Definition
-csc^2(x)
Term
d/dx[csc(x)]=?
 Definition
-csc(x)cot(x)
Term
d/dx[arcsin(x)]=?
 Definition
1/(1-x^2)^(1/2)
Term
d/dx[arctan(x)]=?
 Definition
1/(1+x^2)
Term
d/dx[arcsec(x)]=?
 Definition
1/|x|(x^2-1)
Term
d/dx[arccos(x)]=?
 Definition
-1/(1-x^2)^(1/2)
Term
d/dx[arccot(x)]=?
 Definition
-1/(1+x^2)
Term
d/dx[arccsc(x)]=?
 Definition
-1/|x|(x^2-1)
Supporting users have an ad free experience!