Exam 2 Flashcards
1
Q
Velocity
A
First derivative
2
Q
Acceleration
A
Second derivative
3
Q
Average cost
A
Function divided by X
4
Q
Marginal cost
A
Derivative of function
5
Q
Chain rule
A
Derivative of the outside. Leave the Inside. Times derivative of the inside
6
Q
Implicit differentiation
A
Take derivative of y and x using dy/dx
7
Q
Derivative of ln(X)
A
1/x
8
Q
Ln(gx)
A
Gā(X)/G(X)
9
Q
B^x derivative
A
B^x (lnb)
10
Q
Tower functions derivative
A
Ln of both sides
11
Q
Inverse sin graph
A
1/ square root( 1-x^2)
12
Q
Extreme value theorem
A
A function that is continuos has a max and min on the interval
13
Q
Local extreme point theorem
A
If f has a local minimum or maximum at c and the derivative exitsits. Then fā(c)=0.
14
Q
Con cavity
A
Second derivative
15
Q
Position function
A
Distance with direction
