Post #28

Okayyyy, so this week was pretty normal even with brandi not there.
we took the non-calc portion monday and the calculator portion tuesday, did our key word sheets and worked on corrections for the remainder of the week.

Ln Integration
This is only used with fractions and when the top is the derivative of the bottom

Example: Integrate 2x / x^2 + 9
The derivative of x^2 + 9 is 2x which is the top of the fraction so the integral is
ln x^2 + 9 + c

Equation of a tangent line:
Take the derivative and plug in the x value.
If you are not given a y value, plug into the original equation to get the y value.
then plug those numbers into point slope form: y − y1 = m(x − x1)


Second Derivative Test:

1. Take the derivative of the first derivative.
2. Set the second derivative equal to Zero.
3. Solve for x.
4. Create intervals for x. i.e. (-∞, 1) (1, 4) (4, ∞)
5. Pick a number in the intervals then plug that in the second derivative for x.
6. Solve. For positive numbers, the graph of the derivative is above the x-axis. For negative numbers, the graph of the derivative is below the x-axis. The numbers for x are your points of inflection. (Points of Inflection are only if there is a shift in the graph)


things i need help with: i don't have my packets infront of me right now but problems like the one that asked for the domain.. i think it was like the first or second problem, and the problem that asked for two non-negative numbers, it was one of the last problems... anyways, i have no idea how to do them. and someone wanna go over MVT?