Lesson 18 of 18Article14 min
Multivariable Calculus Preview
z = f(x,y) has a graph as a surface. Partial derivatives freeze one variable; the gradient ∇f points to steepest ascent and is normal to level curves.
Functions of several variables
z = f(x,y) has a graph as a surface. Partial derivatives freeze one variable; the gradient ∇f points to steepest ascent and is normal to level curves.
- Double integrals add up density over regions in the plane.
- Next depth: Linear Algebra for Jacobian matrices and change of variables.
You have the single-variable core. Multivariable is a natural sequel once partials and vectors feel comfortable.