Post # 36

Hellooo everyone! I hope everybody had a great time at prom and prom mania... i know i did :)... anyways let's go over some simple stuff first:

First derivative test:

You will be given a function, so you have to take the derivative of the function once and set it equal to zero. Then solve for the x values (critical points) and set them up into intervals between negative infinity and infinity. Then plug in values between those intervals into the first derivative to see where there are max and mins or if the function is increasing or decreasing.

Second derivative test:

You take the derivative of the function twice and you set it equal to zero. Solve for your critical points once more and set them up into intervals between negative infinity and infinity. Plug in numbers between those intervals into the second derivative to see where the function is concave up, concave down, or where there is a point of inflection.

Tangent lines:

You will be given a function and an x value. To find the y value you have to plug the x value into the original function and solve. Then take the derivative of the function and plug in the x value to find the slope. Then plug everything into point-slope form (y-y1=slope(x-x1)).

Limit Rules:

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

Things i still struggle with:
# 2 on the calculator portion of the free response
# 7 on the calculator multiple choice
#11 on the calculator MC