26th post

This week we went over some of the problems everyone was having trouble with.. here are some things i have a good handle on:

1st derivative test:

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. Then you plug numbers in between those intervals into the derivative to see if a function is increasing, decreasing, a max, or a min.

For the second derivative test, you take the derivative of the function two times and solve for the critical points like in the first derivative. You set up intervals the same way and plug numbers into the second derivative to see if it is concave up, concave down, or a point of inflection.

For e integration, the integral is always what e is raised to.
for ln integration, the top has to be the derivative of the bottom.
If there is a +1 at the bottom of a fraction, it is tan inverse.
Anything else if most likely substitution.

Tangent line- they give you a function and an x value. If no y value is given, plug the x value into the original function. To find the slope, you take the derivative of the original function and plug the x value in. Then you set it up into point slope form. y-y1= slope(x-x1). For a normal line, you would take the negative inverse of the slope and solve.

Things i have problems with:
One of the major problems i am having is the problems that give you three statements and ask you which ones are true. I know they are probably the easiest but i am struggling with them. Another thing i am having trouble with is substitution and LRAM, RRAM, MRAM, and TRAM, if anyone has an easy way of remembering the formulas that would be a great help. Hope you all have a safe and happy holiday :)