Calculus Flashcards
1
Q
Describe the integration by parts method
A
2
Q
State the derivative of sin(x)
A
cos(x)
3
Q
State the derivative of cos(x)
A
-sin(x)
4
Q
State the derivative of tan(x)
A
-sec2(x)
5
Q
State the requirement for an ODE Pdx + Qdy = 0 to be an exact differential
A
If ∂P/∂y = ∂Q/∂x, the ODE is an exact differential
6
Q
State the derivative of sec(x)
A
sec(x)tan(x)
7
Q
Describe how to solve an exact differential of the form
Pdx + Qdy = 0
A
Let P = ∂F/∂x and Q = ∂F/∂y and solve for F.
Note that F = constant
8
Q
Describe the absolute error in a taylor series expansion
A
|f(x,x0) - p(x,x0)|
