Exam I - Equations & Important Info Flashcards
1
Q
What is DQ formula?
A
Difference Quotient: lim h->0 =
f(x+h) - f(x)
_______
h
2
Q
What is point slope form?
A
y - y1 = m ( x - x1 )
3
Q
What is Product Rule?
A
y’= (f’)X(g) + (f)X(g’)
4
Q
What is Quotient Rule?
A
y’= (f’)X(g) - (f)X(g’)
__________
g^2
5
Q
Postion Function?
A
s(t) Original Function
6
Q
Velocity Function?
A
v(t) First Derivative of Original Function
7
Q
Acceleration Function?
A
a(t) Second Derivative of Original Function
8
Q
f(x) = x^2015, what is f^(2017)?
A
0, The derivative exponent is higher so it is zero
9
Q
What are reasons a function is NOT continuous?
A
- Limit DNE
- Limit & Function Value Differ
10
Q
What are the reasons a function IS continuous?
A
-Limit Equals Function Value
11
Q
f(x) =e^2x, what is f’(x)?
A
e^2x X 2 X LN(e)
12
Q
f(x)= -4x^2+3x+2, what is f’(x)?
A
-8x+3
