28th post

This week in calculus we took two more AP test and surprisingly i did not to bad on these.... anyways lets go over some concepts:

Tangent line:

You take the derivative of the function and plug in the x value to get the slope. If no y value is given, you plug in x into the original function and solve. Then you set the equation into point slope form y-y1=slope(x-x1).

First derivative test:

You use this test to find max and min and to tell if the function is increasing or decreasing. You take the derivative of the function given and solve for the x values (critical points), then you set those points up into intervals between negative infinity and infinity. You then take numbers in between those intervals and plug them into the first derivative.

Second derivative test:

You use this test to find if the function is concave up, concave down, or if there is a point of inflection. You take the derivative of the function twice and solve for the critical points. Then you set those points up into intervals between negative infinity and infinity. You then plug points in between those intervals into the second derivative.

Limit Rules:

If the degree on top is bigger than the degree on the bottom, the limit is infinity
If the degree on top is smaller than the degree on the bottom, the limit is zero.
If the degree on top is the same as the degree on the bottom, you divide the coefficients to get the limit.

h Limits:

If they give you a limit where they have a letter going to a number, you take the derivative of whatever is behind the parenthesis on the top of the fraction. Then you plug in the number where there is an x.

Some things i am having trouble with:
When there is an integral and they have an x in front of a square root.
When you have tan in the integral but for some reason you have to change it to sin.
The questions that have three parts to it, i need helpful hints for those lol.

Hope you all have a great day off... See ya on Tuesday :)