Derivative for Vector Functions by Components + Proof

In this video I show that the derivative of a vector function is equal to the derivative of the real-valued functions in its components. I prove this by applying the definition of derivatives for vector functions, and then apply basic limit and vector laws to obtain the corresponding definition of derivative of each real-valued function in each component. YouTube - Summary - Notes - Playlist - Vector Functions playlist

#math #science #calculus #vectorfunctions #proof