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Trigonometry
Question

Extreme values on a helix Suppose that the partia...

Extreme values on a helix Suppose that the partial derivatives of a function \(f ( x , y , z )\) at points on the helix \(x = \cos t , y = \sin t\) , \(z = t\) are \(f _ { x } = \cos t , f _ { y } = \sin t , f _ { z } = t ^ { 2 } + t - 2\) .

Answer

\(( \cos 1 , \sin 1,1 ) \text { and } ( \cos ( - 2 ) , \sin ( - 2 ) , - 2 )\)

Solution
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