Consider the function ?: (?1,1) × (?1,1) ? ? given by ?(?, ?) =
sin(?? +...
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Advance Math
Consider the function ?: (?1,1) × (?1,1) ? ? given by ?(?, ?) =sin(?? + ?? + ?2 ).
1. Find a bound for the directional derivative of ? in anydirection, i.e. find a constant ? such that |???(?, ?)|? ? for all (?, ?) ? (?1,1) × (?1,1) and ? ? ? 2 with|?| = 1.
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Let the given function be We have to find the maximum value of the directional derivativeof the
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