Shared Flashcard Set

Details

Rice University Calc 101 Exam 2
Sections 3.3 through 4.8 (Derivatives of Trig Functions through Newton's Method)
19
Mathematics
Undergraduate 1
11/07/2011
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
Derivative of sin(x)
 Definition
cos(x)
Term
Derivative of cos(x)
 Definition
-sin(x)
Term
Derivative of tan(x)
 Definition
sec2(x)
Term
Derivative of csc(x)
 Definition
-csc(x)cot(x)
Term
Derivative of sec(x)
 Definition
sec(x)tan(x)
Term
Derivative of cot(x)
 Definition
-csc2(x)
Term

Lim   sinΘ

Θ=>0   Θ   

Definition
1
Term

Lim   cosΘ-1

Θ=>0     Θ    

Definition
0
Term
Derivative of arcsin(x)
 Definition

       1       

root (1-x2)
Term
Derivative of arctan(x)
 Definition

    1    

x2+1
Term
Derivative of ln(x)
 Definition

  1  

x
Term
Law of Cosines
 Definition
a2=b2+c2-2bc*cos(Θ)
Term
Equation for the Linearization of f(x)
 Definition
L(x) = f(a)+f'(a)[x-a]
Term
Extreme Value Theorem
 Definition

If f(x) is:

  • continuous
  • on a closed interval [a,b]
then: there is both an abs. min and abs. max on that interval
Term
Fermal's Theorem
 Definition
If f(x) has a local min/max at a point, and the derivative exists there, then the derivative is 0 there.
Term
Rolle's Theorem
 Definition
If f(x) is continuous on [a,b], differentiable on (a,b), and a=b, then there must be a point on (a,b) where f'(x)=0
Term
Mean Value Theorem
 Definition
If f(x) is cts on [a,b] and diff. on (a,b), then there exists a point on (a,b) where f'(c)= [f(b)-f(a)]/(b-a)
Term
Newton's Method
 Definition
x1 - f(x1)/f'(x1) = x2
Supporting users have an ad free experience!