O'Reilly logo

The Theoretical Minimum: What You Need to Know to Start Doing Physics by George Hrabovsky, Leonard Susskind

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Interlude 3: Partial Differentiation

“Look out there, Lenny. Ain’t those hills and valleys pretty?”

“Yeah George. Can we get a place over there when we get some money? Can we?”

George squinted. “Exactly where are you looking Lenny?”

Lenny pointed. “Right over there George. That local minimum.”

Partial Derivatives

The calculus of multivariable functions is a straightforward generalization of single-variable calculus. Instead of a function of a single variable t, consider a function of several variables. To illustrate, let’s call the variables x, y, z, although these don’t have to stand for the coordinates of ordinary space. Moreover, there can be more or fewer then three. Let us also consider a function of these variables, V(x, y, z). For every ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required