2.1-2.4 Flashcards
0
Q
y=cos x
y’=?
A
-sin x
1
Q
y=sin x
y’=?
A
cos x
2
Q
y=tan x
y’=?
A
sec^2 x
3
Q
y=csc x
y’=?
A
-csc x
4
Q
y= sec x
y’=?
A
sec x tan x
5
Q
y= cot x
y’=?
A
-csc^2 x
6
Q
Average velocity=?
A
Change in distance/change in time
Y2-y1/t2-t1
7
Q
Position of free falling object neglecting air resistance
A
S(t)=(1/2)gt^2+Vo t+ So
8
Q
S(t)=(1/2)gt^2+Vo t+So
A
S(t)= height at any time t
G=gravity constant -32ft/sec^2
Vo= initial velocity(when t=0)
So=initial position (height when t=0)
9
Q
Product rule
A
D/dx[f(x)g(x)]=f(x)g’(x)+g(x)f’(x)
10
Q
Quotient rule
A
D[f(x)/g(x)]/dx= g(x)f’(x)-f(x)g’(x)/g(x))^2
11
Q
Chain rule
A
D[f(g(x))]/dx=f’(g(x))g’(x)
12
Q
Chain rule
y=f(u)
U=g(x)
Then y=f(g(x))
A
Dy/dx=dy/du • du/dx
