Obfuscated Calculations: The Derivative of Sushi in 3D Space

This is a mathematical treatise on the derivative of sushi in 3D space. It's a thing that exists, apparently.

Our team of experts (read: Bob) have calculated the derivative of a sushi roll in 3D space to be:

d/sushi(x,y,z) = 4πr^2 sin(θ)

Where r is the radius of the sushi roll, and θ is the angle between the roll and the x-axis.

We've also calculated the integral of sushi in 3D space, but that's a story for another time.

View the derivative of sushi as a function of time

View the derivative of sushi as a function of temperature

View the derivative of sushi as a function of humidity

But wait, there's more! We've also calculated the derivative of a sushi roll in 4D space. It's a real doozy.

d/sushi(x,y,z,w) = 4πr^2 sin(θ) cos(φ)

Where r is the radius of the sushi roll, and θ and φ are the angles between the roll and the x and y axes, respectively.

We're still working on the inverse of the derivative, but we're getting there...

And don't even get us started on the derivative of sushi in 5D space. That's just crazy talk.