Derivatives
Find the derivative of:
3x^2
What is
6x
Evaluate
∫(cosx)dx
What is sinx+c
Find the limit:
lim_(x→-3)abs(x+3)
What is 0
The first four terms of the series:
1/(1-x)
What is 1+x+(x^2)+(x^3)+...
If f is cont. on [a/b] amd differentiable on (a,b), then there exists c on a
What is Mean Value Theorem
The derivative of arccos(x)
What is -1/√(1-x^2)
Find
∫x^ndx
in terms of n
What is
x^(n+1)/(n+1)+c
Find the limit:
lim_(x→-1)x^2+3x+2/x+1
What is -3
The first four terms of the series: cosx
What is 1-(x^2/2!)+(x^4/4!)-(x^6/6!)+...
lim_(x→a-)f(x)=lim_(x→a+)f(x) = L
What is a Limit
Calculate the derivate of:
(3sin(x))/cos(x)
What is
3sec^2x
Evaluate
∫cosxcos(sinx)
dx
What is
sin(sinx)+c
Find the limit:
lim_(x→∞) (3x^7-5x^3+2)/(6x^7+12x^4-81)
What is 1/2
The first four terms of the series:
cos(x^2)
What is 1-((x^2)^2/2!)+((x^2)^4/4!))-((x^2)^6/6!)+...
Involves accumulating area where a vertical asymptote is between the limits of integration.
What is Improper Integrals
Calculate f' in terms of g' for
f(x)=x^2g(x)
What is
x^2g'(x)+2xg(x)
Evaluate
∫cosxe^(sinx)dx
What is e^(sinx)+c
lim_(x→0)tan(πx)/ln(1+x)
What is
π
The first four terms of the series:
1/(1+x^3)
What is 1-x^3+x^6-x^9+...
y_o + dy/dx(trianglex)
What is Euler's Method
Calculate y' for
x^2+siny=xy
What is
(y-2x)/(cosy-x)
Evaluate
∫xsin(3x^2)dx
What is
(-cos(3x^2)/6)+c
lim_(h→0) (sin^2(x+h)-sin^2x)/h
What is 2sinxcosx
The first four terms of the series:
2sin(-x)
What is 2((-x)-((-x)^3/3!)+((-x)^5/5!)-((-x)^7/7!)+...)
*Equations look like r=...Ѳ (usually symmetric) *Find beginning/ending or intersection points (Angles) *Formula to be memorized
A=∫ r^2/2 dθ
What is Area of Polar Curve?