Unit 2 - Derivatives Flashcards
1
Q
3 cases where a derivative would not exist
A
Corner, cusp, vertical tangent
2
Q
For a function to be differential at x
A
It must be continuous
3
Q
Constant multiple rule
A
d/dx (cu) = c*du/dx
4
Q
Sum and difference rule
A
d/dx (u+-v) = du/dx +- dv/dx
5
Q
Product rule
A
d/dx (uv) = udv/dx + vdu/dx
6
Q
Quotient Rule
A
d/dx (u/v) = [vdu/dx - udv/dx]/v^2
7
Q
Displacement
A
f(t + deltat) - f(t)
8
Q
Marginal cost (equation and definition)
A
dc/dx = lim h—>0 [c(x+h)-c(x)]/h
rate of change of cost with respect to level of production, extra cost of producing one more unit
9
Q
Sensitivity (definition)
A
How a change in one variable affects the change in another variable
10
Q
d/dx(sinx)
A
cosx
11
Q
d/dx(cosx)
A
-sinx
12
Q
d/dx(tanx)
A
sec^2(x)
13
Q
d/dx(cotx)
A
-csc^2(x)
14
Q
d/dx(secx)
A
sec(x)tan(x)
15
Q
d/dx(cscx)
A
-csc(x)cot(x)
