First-Order Partial Derivatives - Active Calculus
activecalculus.org › multi › S-10-2-First-OrderThe first-order partial derivatives of f with respect to x and y at a point ( a, b) are, respectively, and f x ( a, b) = lim h → 0 f ( a + h, b) − f ( a, b) h, and f y ( a, b) = lim h → 0 f ( a, b + h) − f ( a, b) h, provided the limits exist. 🔗. Activity 10.2.2.