Final Equations Flashcards
1
Q
Quotient Formula
A
f(x)/g(x)= f’(x)g(x)-f(x)g’(x)/g(x)^2
2
Q
Product Formula
A
f(x)g(x)=f’(x)g(x)+f(x)g’(x)
3
Q
Indeterminate
A
Zero or infinity to a power/divided by itself
4
Q
L’ Hopitals Rule
A
Take Derivative of Top/Bottom. Make the problem a quotient if not one.
5
Q
Piecewise Function
A
Solve by Plug&Play. May or may not be continuous. Passes vertical line test
6
Q
Chain Rule
A
- Take Derivative of Outside
- Keep Inside Same
- Multiply by Derivative of Inside Function
7
Q
Derivative Power
A
nx^n-1
8
Q
Antiderivative
A
1/n+1 x^n+1
9
Q
ln (x)
A
1/x
10
Q
ln(f(x))
A
1/f(x) X f’(x)
11
Q
Log a (x)
A
1/ x ln a
12
Q
Log a f(x)
A
1/ f(x) ln a X f’(x)
13
Q
Newtons Method
A
Xn+1 = Xn - (f(xn))/(f’(xn))
14
Q
Area of Triangle
A
1/2 bh
15
Q
Area of Square
A
bh
