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Posted: Tue May 10, 2022 4:07 pm
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Find a normal vector to the level curve f(x, y) = c at P. (, flx, y) = x2 * x2 Х + y² P(4, 4) 1 C= 8 Step 1 First, find the gradient of the function f(x, y). Vf(x, y) = fx(x, y)i + fy(X, Y); Start by finding fx(x, y). a fx(x, y) əx Lx2 + y2 х = x2 + y2 x2 (x2 + y2) = y2 – x2 (x2 + y2)
Find the four second partial derivatives. Observe that the second mixed partials are equal. 21xey - 2ye-x z = | Х Ә2, дх2 ә22 дудх ә22 ду2 Ә22 Әхду
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Find a normal vector to the level curve f(x, y) = c at P. (, flx, y) = x2 * x2 Х + y² P(4, 4) 1 C= 8 Step 1 First, find the gradient of the function f(x, y). Vf(x, y) = fx(x, y)i + fy(X, Y); Start by finding fx(x, y). a fx(x, y) əx Lx2 + y2 х = x2 + y2 x2 (x2 + y2) = y2 – x2 (x2 + y2)
Find the four second partial derivatives. Observe that the second mixed partials are equal. 21xey - 2ye-x z = | Х Ә2, дх2 ә22 дудх ә22 ду2 Ә22 Әхду