Chords for Lose Yourself (In Calculus)

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_ _ _ [Bb] You have _ one _ _ _ _ [C] _ [D] _ _ _
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_ _ _ _ _ _ [D] opportunity _ to _ [Bb] _ get college math credit.
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Would you capture it?
_ _ _ [Gm] I just let it _ [D] slip his arms are sweaty knees weak arms are heavy
He closes his notes for the last time scared, but ready he's nervous, but on the surface
He was calm and steady to get fives, but he keeps on forgetting what he wrote down the whole class quiet now
He opens the test, but the math won't come out
He's choking now all the pencils broken now the [Bb] clock runs out times [D] up over plow snap back to reality
[Dm] Getting a five guaranteed.
Let's talk the [Bb] Holy Trinity rules the continuity [D] left and the right hand limits remain the same
Defined as f of X [C] and that value must be named [D] in the graph.
No breaks.
No jumps
[Dm] No gap [Bb] the limit does exist and the functions all intact
[D] But some limits can be strange and not exist in every place, [Gm] but these we know the limits [D] go on and on
_ [Dm] _ _ _ _
_ _ _ [Bb] Limit differentiate it [D] through the integral you only [Dm] get one shot do not miss your chance to pass [Bb] this opportunity
Comes [C] once in a school year [D] you better lose yourself in the functions and limit
_ [Bb] _ Differentiate it [Dm] through the integral you only get one [D] shot do not miss your chance to pass [Bb] this opportunity comes [C]
once in a school _ [D] year
Differentiate means you have to approximate [Bb] the slope of the tangent line by the instantaneous rate [D] once you have that slope
You know the rate of change [Gm] the graph must look so pretty just like a mountain range
[D] Now find those critical points where D must equal zero [Bb] you got the minute max you such a calculus hero [D] now
Let's move on to F the double prime [Gm] the slope of the derivative keeping it in line
But you got to pay attention because we're keeping it in [D] time
Pois occur when there is a change in sign to use derivatives and apply them to a [G] life-related rates use dy dx
[Bb] Solve for the other side [D] next we have particle motion P and V and a of T
Differentiate to jump around isn't that just so easy you know derivation ain't this mess of funky fresh [Gm] mr.
Garb scout class is the absolute best
[Dm] _ _ _ _
[D] Functions and limits [Bb] differentiate it [D] through the integral [Dm] girl you only get one shot do [D] not miss your chance to pass this [Bb] opportunity
Once [D] in a school year you better [Dm] lose [D] yourself in the functions and limit [Bb] differentiate it [Dm] through the integral
You only get one [D] shot do not miss the chance to pass this [Bb] opportunity comes [C] once in a school year
[D] No more games.
Let's stay within the domain area under the curve now
Let me explain to find the integral you have to answer derive [G] get on the right [D] highway
Hope you know how to drive, but I kept integrating and thank God
I didn't miss you do [Bb] you and you over you are added to the list [D] can't forget the ones were natural logs and E
You [Gm] got it into great
That's a classic decree [D] and we can't forget to talk about the ramen some [Gm] left right midpoint and the trapezoid comes
[D] Finally every year of each and do the summation [G] under or [E] over no exact approximation
[D] And when we integrate we can't forget those old rules focus product chain quotient those will be our tool with the product rule
You got a new prime and B [Gm] multiply the opposite
Will be [D] free quotients a little different with the product rule spared [Bb] at a minus sign and put it over V
Square [D] chain is different still with you would be all mixed up [Dm] take the exponent down and [D] throw and minus one up
Then you must multiply by the D of inside [Bb] make integration limits and make sure they're defined [Dm] now
We're done rap about how calculus is defined [Bb] and we're off to take the [D] test.
We know we're gonna get
[Dm] _ _ _ [D] _ _
Functions and limit
_ [Bb] _ Differentiated through the [Gm] integral grow [Dm] only get one [D] shot do not miss a chance to pass this [Bb] opportunity comes once [D] in a school year
You better lose yourself in the functions and limit
_ _ Differentiated through the integral grow only [Dm] get one [D] shot.
Do not miss a chance to pass this opportunity comes once in a school year
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