Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction v at the point P.
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- Using the theme of gradient and directional derivative:(what it says in the picture)Use Theorem Directional Derivative to find the directional derivative of the function f(x, y) = x2 + y2, at P (1, −2), = /4 in the direction of the unit vector u = cos i + sin j.Find the (linear) equation of the tangent plane to the surface z=xsin(x+y) at the point (7,−7,0). Your answer should be in the form of an equation, e.g., something like ax+by+cz=d or a(x−x0)+b(y−y0)+c(z−z0)=0 would work. Equation: ____________
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