Finding more points for an R^4->R^2 matrix

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SUMMARY

The discussion focuses on computing the derivative Df(1,0) for the function F(x,y,z,t) = (t^2 exp(x + yz), z^2 exp(y + xz). Participants clarify the requirement to evaluate the derivative matrix at the specified point (1, 0) and express confusion regarding the need for additional points for variables z and t. The consensus is that the derivative matrix can be computed directly at the given point without needing further points.

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Minihoudini
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You may assume that all functions in this problem are differentiable at the indicated points
a) if F(x,y,z,t)=(t^2exp(x+yz),z^2exp(y+xz) compute Df(1,0)

now we know how to find the matrix, but what we don't know how to do is find additional points for z and t. any help would be great.
 
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I don't understand your question. The problem says "at the indicated points" and gives (1, 0). What other points do you want? If you have found the matrix form of the derivative, evaluate it at (1, 0).
 

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