The Problem: No clue how to begin the following. The textbook isn't too clear.(adsbygoogle = window.adsbygoogle || []).push({});

Let [itex]f: \mathbb{R}^2 \rightarrow \mathbb{R}^2 ; (x,y) \rightarrow (e^{x+y}, e^{x-y})[/itex] Letc(t) be a path with c(0)=(0,0) and c'(0)=(1,1). What is the tangent vector to the image of c(t) under f at t=0?

Any help at all would be much appreciated.

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# Vec Calc - tangent to path

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