# Derivatives of multivariable functions

Lessons

Partial derivativesGradient and directional derivativesPartial derivative and gradient (articles)Differentiating parametric curvesMultivariable chain ruleCurvaturePartial derivatives of vector-valued functionsDifferentiating vector-valued functions (articles)DivergenceCurlDivergence and curl (articles)LaplacianJacobianAbout this unit

What does it mean to take the derivative of a function whose input lives in multiple dimensions? What about when its output is a vector? Here we go over many different ways to extend the idea of a derivative to higher dimensions, including partial derivatives, directional derivatives, the gradient, vector derivatives, divergence, curl, etc.