Kevin:
The first thing you need to know about derivative tests
You got to set your equation to f(x)
Then you got to put your equal sign up next
No Scoota YBS
Just me and my team about to show you the steps
Hold up, let me refresh
Did you see anything that look suspect?
An asymptote will leave a hole in the graph
And ruin your whole thought process
Now you have to make a number line
To plug in all your values that are undefined
Its crazy how I made this rhyme
Pick a number in the interval and you’ll be set
The results will come back positive or negative like an HIV test
If it’s positive, it’s a maximum
If its negative, it’s a minimum
Now you know how to do the test
Ima let my boy Josh handle the rest
Joshua:
Rules! Rules! Rules!
I get so tired of rules
But it’s what puts the pieces of the puzzle together like Blue’s Clues
We’re about to solve this mystery
But this is math so forget history
History is history and math is automatic
If you mess up this test, this will get problematic
I’m not up here to turn yall into addicts
I’m just here to teach a lesson and I’m hoping that yall grab it
The power rule is basic
Move the power to the front of the base and multiply it
Subtract the power by one and you got it
Next rule is the product rule
You know this means multiplication
Don’t worry about any complications
The first function is multiplied to the second function’s derivative
Make sure it’s followed by a plus sign ‘cause addition is the additive
Then the second function is multiplied to the first function’s derivative
Now add ‘em together and you’ll have your answer
This is real basic not the cure to cancer
Now we’re on the quotient rule
Take the denominator’s function and multiply it to the numerator’s derivative
Follow it up with a subtraction sign
Take the numerator’s original function and multiply it to the denominator’s derivative
Then, divide it by the denominator squared
Finally, we got the chain rule
It’s not what you think
Nobody’s getting chained up or put in bondage
But we have to pay homage to the product rule
‘Cause this is nothing but the product rule multiplied to the derivative of the inside
Too many times this rules made people cry
But all of us in here took a swing and tried
