Academic Detention Blog #1

So i am not going to say this week in calc because thats a dumb statement for make up blogsss.

thankfully by now the initial derivative rulse have been ingrained into my mind, so i will go over them.

PRODUCT RULE-one of the easiest rules there are
copy the first times the derivative of the second (plus) copy the second times the derivative of the first.

EXAMPLE: 5x
0(x) + 5(1)
=6

Also, some things to remember-
-the derivative of any number alone is 0.
-the derivative of any variable, such a x, is 1.

Now the EXPONENT RULE, also an easy concept, these things are about as easy as claculus gets. all you do is follow this formula: d/dx U^n=NU^(n-1)

an example of this would be:
x^4
4x^3
easyyyy!

another easy rule is the QUOTIENT RULE. this applies when you are taking the derivative of a fraction. all you do is copy the bottom times the derivative of top (minus) copy the top times the derivative of the bottom (all over the bottom squared)

exampleeee: (x^2)/x

((x)(2x)-(1)(x^2))/x^2
2x^2-x^2/x^2
x^2/x^2=1

Now for what i dont understanddd, i really don't have a full grip on optimization still, if i study it right before the exam i'll be fine but i can think of a way to get the concept to stick with me permanently.