Briefly explain

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Briefly explain, in one or two sentences, why differentiating each component of a vector-valued function separately yields the derivative of the entire vector-valued function when all component functions are differentiable on an interval.

Related theory

Vector-Valued Functions

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