Cal I Test II (rules & linearization) Flashcards
1
Q
Simple power
A
f’(c^2) = 2c
2
Q
Sum and difference
A
d(u + v) = d(u) + d(v)
3
Q
Product rule
A
d(uv) = vd(u) + ud(v)
4
Q
Quotient rule
A
u/v = (vd(u) - ud(v))/(v^2)
(LoDHi - HiDLo) / LoLo
5
Q
Chain rule
A
f‘(g(x)) * g‘(x)
6
Q
Order of sin derivs
A
sin, cos, -sin, -cos
7
Q
Volume of cone
A
v = 1/3hπr^2
8
Q
Pythagorean theorem
A
a^2 + b^2 = c^2
9
Q
Linearization
A
L(x) = f(a) + f’(a)(x-a)
10
Q
Mean Value Theorem
A
f’(c)=
f(b) - f(a)/
b-a
