Well I am going to talk about some more old stuff to refresh some memories for the AP test.
The steps for working linearization problems are:
1. Identify the equation
2. Use the formula f(x)+f ' (x)dx
3. Determine your dx in the problem
4. Then determine your x in the problem
5. Plug in everything you get
6. Solve the equation
The Riemann sum approximates the area using the rectangles or trapezoids. The Riemanns Sums are:
LRAM-Left hand approximation=delta x[f(a)+f(a+delta x)+...f(b-delta x)]
RRAM-Right hand approximation=delta x[f(a+delta x)+...f(b)]
MRAM-Middle approximation=delta x[f(mid)+f(mid)+...]
Trapezoidal-delta x/2[f(a)+2f(a+delta x)+2f(a+2 delta x)+...f(b)]
delta x=b-a/number of subintervals
Also I am going to talk about taking implicit derivatives. The steps for taking implicit derivatives are:
1. Take the derivative of both sides like you would normally do
2. Everytime the derivative of y is taken it needs to be notated with either y ' or dy/dx
3. Solve for dy/dx or y ' as if you are solving for x.
Can someone refrest me on the mean value theorem?
Subscribe to:
Post Comments (Atom)
You take the derivative of the function given and set it equal to f(b) - f(a)/b - a.
ReplyDeleteMEAN VALUE THEOREM:
ReplyDeletetake derivative
set equal to what you get when you plug into this formula:
f(b)-f(a) divided by b-a
Mean Value Theorem is so simple, but I always forget to.
ReplyDeleteIt is just taking the derivative and then set that equal to f(b)-f(a)/b-a.
I finally remembered mean value theorem so i can help :)
ReplyDeleteyou just take the derivative and set it equal to f(b) - f(a)/b - a
so it's just
f'(c) = f(b) - f(a)/ b - a
voila :)
I never remember the MVT either =]
ReplyDeleteTake the first derivative and set it equal to f(b)-f(a)/b-a
Don't get the a and b mixed up! In calculus it's always some form of b-a!
For MVT, you are usually given a function and a point. All you're really doing is finding slope and setting it equal to your derivative.
ReplyDeleteYou take the derivative of your function and set it equal to f(b) - f(a)/b-a and solve for a number.