Question: 6. Consider the function f : R* R? defined by f(z,y,2) = (xz + 12, sin(zyz) + 2). (a) Compute the Jacobian matrix of f

6. Consider the function f : R* R? defined by f(z,y,2) = (xz + 12, sin(zyz) + 2). (a) Compute the Jacobian matrix of f at the point (z,y,z) = (0, -1, 1). (b) Are there directions in which the directional derivative of f at (0, 1,1) is zero
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