Opening + Chorus
You see it's brackets...
Your function ain't continuous on that graph, if you ain't in that bracket.
Learn life... It's derivatives to the ___ young boy!
Aiyo Nixon, you feel me¿
Yeah, lil' ___, we don't rock the same slope, have the same growth—cause it's derivatives to the ___.
Lil' __, you're not a special limit, you're not instantaneous cause it's derivatives to the ___.
Lil' __, we don't get the same steepness, your average is just a secant!
Boy, derivatives to the __.
Lil' ___, cause it's derivatives to the __.
Lil' __, cause it's derivatives to the __.
Oh, lord!
First Verse
Cause it's derivatives to the __, derivatives to the __.
Can't derive my function cause there's gaps in relationships.
And I be touching one point like a tangent on this limit.
And everywhere I'm continuous on that secant. (Lord!)
And my range is infinite.
“V” and “A” is zero, so you know the object is at rest. (steam!)
All the same sign, so you know velocity's at its best.
Negative and a positive, so the speed is getting less.(whoo!)
Differentiate, order—never done at cusks and sharp corners. (room?)
Notating them like I'm Leibniz.
How something changes over time is a secret. (soon?)
Swerve on 'em lines, you need smooth curves on 'em.
Cause I heard, “no sharp turns; you gotta get a worm on 'em.
But a line is average—mean value theorem.
All the way from “a” to “b”, differentiate on 'em! (huh!?)
I ain't do odd functions yet;
Logs is inverse of exponents!
One app is known as movement.
Inverse—reflect over y = x. (brrrrrriiiiiiiip)
You take turns when you stop.
Coterminal angles when it's wide as a dock.
We mathematicians, we think harder than a rock.
No degrees; we got more radians than a clock.
Chorus
Yeah, lil' ___, we don't rock the same slope, have the same growth—cause it's derivatives to the ___.
Lil' __, you're not a special limit, you're not instantaneous cause it's derivatives to the ___.
Lil' __, we don't get the same steepness, your average is just a secant!
Boy, derivatives to the __.
Lil' ___, cause it's derivatives to the __.
Lil' __, cause it's derivatives to the __.
Oh, lord!
Second Verse
If it's a limit, derive right now!
[Use] TINTU; better known as L' Hospital.
Y'all going straight to the derivative, with two variables—I'll pull up like foul!
I do that product rule for multiplication.
Quotient rule for division.
Now I'm playing with composite functions and you know now we can get the chain rule with 'em.
I'm counting up to 5 now.
If it's related rates, I'm writing all the quantities down.
Find an equation that puts everything on the same grounds.
Now it's time for me to implicitly break it downtown.
And I don't graph no asymptotes.
If they're just gonna leave a hole.
And if it ain't continuous.
Limit as x approaches—does not exist!
Chorus
Yeah, lil' __, we don't rock the same slope, have the same growth—cause it's derivatives to the ___.
Lil' __, you're not a special limit, you're not instantaneous cause it's derivatives to the ___.
Lil' __, we don't get the same steepness, your average is just a secant!
Boy, derivatives to the __.
Lil' __, cause it's derivatives to the __.
Lil' __, cause it's derivatives to the __.
Oh, lord!
Third Verse
One time for the velocity.
Two times for acceleration.
Y'all suckas be vertical, cause y'all suckas never had tangents.
I know that there's a derivative because of Rolles—that's the reason why you're mad!?
That's the reason why f(a) = f(b)?
Tangents on local min and max.
Cause it's derivatives to the __, derivatives to the __.
Can't derive my function because there's holes in relationships.
Cause there's derivatives to this __.
And everywhere I'm continuous on that secant.
Lord! Lord! Lord! Lord! Lord! Lord! Lord!
Chorus
Yeah, lil' ___, we don't rock the same slope, have the same growth—cause it's derivatives to the ___.
Lil' __, you're not a special limit, you're not instantaneous cause it's derivatives to the ___.
Lil' __, we don't get the same steepness, your average is just a secant!
Boy, derivatives to the __.
Lil' ___, cause it's derivatives to the __.
Lil' __, cause it's derivatives to the __.
Oh, lord!