Other equations Flashcards
1
Q
product rule
A
f’g + fg’
2
Q
quotient rule
A
f’g - fg’/g²
3
Q
det of 2 x 2 matrix
A
detA=ad-bc
4
Q
det of inverse 2 x 2 matrix
A
1/detA (d -b)
(-c a)
5
Q
sin(-x)
A
-sinx
6
Q
cos(-x)
A
cosx
7
Q
tan(-x)
A
-tanx
8
Q
real and distinct roots general solution (homogeneous)
A
y= Ae^px +Be^qx
9
Q
real and equal roots general solution (homogeneous)
A
y= (Ax+B)e^px
10
Q
no real roots general solution (homogeneous)
A
y= e^px (Asinqx + Bcosqx)
11
Q
nth term of arithmetic sequence
A
a + (n-1)d
12
Q
nth term of geometric sequence
A
Un= ar^n-1
13
Q
Integration by parts
A
∫ fg’ = fg- ∫ f’g
14
Q
first derivative parametric equation?
A
dy/dx = dy/dt x dt/dx
15
Q
second derivative parametric equation?
A
d/dt(dy/dx) x dt/dx
