differentiate me

(Ooh-la-la, calculus time!) Temple's at the board,

writing lines Grab your pencils,

align your minds

Finding the tangent slope,

day by day

Instantaneous rate,

the Temple way

x to the n,

bring the power down low

Subtract one from the power,

watch it go d-d-x of x to the n,

you see

Is n times x to the n minus one,

easily!

Two functions multiplying, what do we do?

f

times g is waiting for you

First times second's derivative,

rising high Plus second times first's derivative,

fly

Inside, outside, multiply Chain that function,

reach the sky Bottom squared,

don't let it slide Product rule,

two terms combine

Ln of

x, one over x Temple's class got us obsessed!

(Yeah, yeah, obsessed!)

Now Temple points up to a fraction so grand

Quotient rule time, do you understand?

(Listen close!) Bottom times derivative of top on the run Minus top

times derivative of bottom,

done

Over bottom squared, keep it in line

Take

the natural log, smooth and sweet

ln of x is one over x,

feel the beat For u of

x, it's u-prime over u,

oh my Implicit steps make complex forms fly (We differentiate!)

One final challenge, standing on the board

Can we solve it,

find the lost chord?

(We can do this!) Chain,

product, quotient, all align

We've got the rules,

now we shine!

Inside, outside, multiply Chain that function,

reach the sky Bottom squared,

don't let it slide Product rule,

two terms combine

Ln of x, one over

x Temple's class got us obsessed!

Thank you, Temple! (Yeah!)

Packing up our bags,

we did it fine Derivatives

dancing

in our mind (Bye,

Temple!)