From the left, from the left. (2x)
From the left, from the left.
Take that limit from the left.
In this quotient, like a hero,
Limit as h goes to zero.
That limit, yeah you know what's next:
f(x + h) − f(x) and,
all that is over h, it's fine.
Gonna get the slope of your tangent line.
Chorus:
Standing at the cusp point, tellin' me
How I'm such a fool, talking 'bout
How I'll never ever find an f like you.
You got no derivative.
That limit DNE. That limit DNE.
I can just tell when I take the limit.
Matter fact, I'm gon' take that limit.
That limit DNE. That limit DNE.
I can see the tangent line's vertical.
So don't you ever for a second get to thinking
You're differentiable.
So go away there's no hope.
Get outta here with that infinite slope.
Oops, I bet you thought, that I didn't know.
What did you think that product rule was for?
It's cause you said, I quote,
"Don't you worry 'bout that asymptote!"
Ain't gonna change my mind.
Your derivative is undefined.
(Chorus)
I don't want you wastin' all my time,
Because you don't have an f'.
f' does not exist.
So go away now, I must insist.
Leave me now, I've got no compunctions,
I'll just find some other functions.
Get off this graph, you won't missed.
(Chorus, etc.)