(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the directional derivative of w = x^3 + y^2 + 3z at the point (1, 3, 2) on the curve of intersection of the surfaces

x^2 + y^2− 2xz = 6, 3x^2− y^2 + 3z = 0, in the direction of increasing z.

2. Relevant equations

3. The attempt at a solution

i know how to solve the directional dirivative of a function of at a point on the given vector.but in this question I dont know how to solve the equations,and "in the direction of increasing z" does not make sense

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# Directional derivatives

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