Lesson: The Chain Rule for Multivariate FunctionsMathematics
In this lesson, we will learn how to use the chain rule with partial derivative of multivariable functions, such as finding ∂ f(x,y) / ∂u, where x=g(u,v) and y=h(u,v).
Sample Question Videos
Let over the curve , . Write an expression for , giving your answer in terms of the partial derivatives of .
The differentiable functions , describe a curve with . Use the chain rule to find an expression for , where .
Let and consider the curve given by . Use the chain rule to determine the values of when . You may keep your answer in terms of .