Calculus III · Calculus
Partial Derivatives and Optimization
The gradient assembles all partial derivatives into a vector pointing in the direction of steepest increase. Lagrange multipliers solve constrained optimization geometrically.
WHAT STUDENTS WILL LEARN
✓Compute partial derivatives and the gradient
✓Apply the multivariable chain rule
✓Find directional derivatives
✓Use Lagrange multipliers for constrained optimization
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