Question

Find the first derivative f'(a) of the function f defined by f : R^3 \rightarrow R^2 given by  f(x,y,z) = (xyz, x + y+z^2) where a = (1. -1,2) .

26 Feb 2024
Answer :
Word Count : 254

To find the first derivative \( f'(a) \) of the function \( f: \mathbb{R}^3 \rightarrow \mathbb{R}^2 \) at the point \( a = (1, -1, 2) \), we'll compute the Jacobian matrix of \( f \) and then evaluate it at \( ______ __________ ________ ___ _______ ___ _________ _________.
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