Chapter 3 Flashcards
1
Q
(d/dx) Sin (x)
A
Cos (x)
2
Q
(d/dx) cos (x)
A
- sin (x)
3
Q
(d/dx) tan (x)
A
Sec^2 (x)
4
Q
(d/dx) cot (x)
A
- csc^2 (x)
5
Q
(d/dx) sec (x)
A
(sec (x)) (tan(x))
6
Q
(d/dx) csc (x)
A
(- csc (x) ) ( cot(x) )
7
Q
Product Rule
A
f (x) • g ‘ (x) + g (x) • f ‘ (x)
8
Q
Quotient Rule
A
( ( g(x) • f ‘ (x) ) - ( f(x) • g ‘ (x) ) / (g(x))^2
9
Q
Chain Rule
A
g ‘ (x) • f ‘ ( g (x) )
10
Q
(d/dx) b^x
A
b^x lnb
11
Q
Linearization
A
L(x) = f(a) + f’(a) (x-a)
12
Q
Tangent line approximation
A
f(x) ≈ f(a) + f’(a) (x-a)
13
Q
What is the equation for dy?
A
dy = f’(x) dx
14
Q
Equation for ∆y
A
∆y = f(x + ∆x) - f(x)
