CALCULUS RHAPSODY

De nuevo, y gracias a gaussianos.com, he recordado este video que vi hace algún tiempo. Para aquellos que nos gusta Queen que mejor que una versión de su "Bohemian Rhapsody" dedicada al Cálculo. Espero que guste. 

¡Y más abajo tenéis la letra completa!

Is this x defined?

Is f continuous?

How do you find out?

You can use the limit process.

Approach from both sides,

The left and the right and meet.

Im a just a limit, defined analytically

Functions continuous,

Theres no holes,

No sharp points,

Or asymptotes.

Any way this graph goes

It is differentiable for me for me.

All year, in Calculus

Weve learned so many things

About which we are going to sing

We can find derivatives

And integrals

And the area enclosed between two curves.

Y prime oooh

Is the derivative of y

Y equals x to the n, dy/dx

Equals n times x

To the n-1.

Other applications

Of derivatives apply

If y is divided or multiplied

You use the quotient

And product rules

And dont you forget

To do the dance

Also oooh (dont forget the chain rule)

Before you are done,

You gotta remember to multiply by the chain

(Instrumental solo)

I need to find the area under a curve

Integrate! Integrate! You can use the integration

Raise exponent by one multiply the reciprocal

Plus a constant

Plus a constant

Add a constant

Add a constant

Add a constant labeled C

(Labeled C-ee-ee-ee-ee)

Im just a constant

Nobody loves me.

Hes just a constant

Might as well just call it C

Never forget to add the constant C

Can you find the area between f and g

In-te-grate f and then integrate g

(then subtract)

To revolve around the y-axis

(integrate)

outer radius squared minus inner radius squared

(multiplied)

multiplied by pi

(multiply)

Multiply the integral by pi!

Pi tastes real good with whipped cream!

Mama-Mia, Mama-Mia

Mama-Mia let me go.

Pre-calculus did not help me to prepare for Calculus, for Calculus, help me!

So you think you can find out the limit of y?

So you think youll find zero and have it defined

Oh baby cant define that point baby

Its undefined

Goes to positive and negative infinity

Oooh. Oooh yeah, oooh yeah.

Differentiation

Anyone can see

Any mere equation

It is differentiable for me.

(Any way this graph goes)