Use the Chain Rule to find the indicated partial derivatives. дл მs дл z = x² + x²y, x = s + 2t-u, y = stu²; Əz əz Əz as' at au when s = 3, t = 4, u = 2 at Əz ди ||
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- Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w = exy; ар ар when x = 0, y = 6 ах ду ӘР ?х ӘР ду || =Let -4x3 Oz Ax - Use partial derivatives to calculate Oz ду (2,5,-3) 3y3 + 5z3 - 2xyz +482=0. (2,5,-3) = = Oz дz and 3x ду at the point (2, 5, -3).Find the four second partial derivatives. z = 6x2 + y5 a2z дхду дудх ду?
- Use the Chain Rule to find the indicated partial derivatives. P = V u? + v? + w², u= xe", v = ye*, w = exy; ap ap əx' ay when x = 0, y = 3 ӘР ax дуUse the Chain Rule to find the indicated partial derivatives. P= Vu2 + v2 + w², u = xey, v = yex, w = exy; ӘР ӘР when x = 0, y = 3 Т ах ду др дх др ду || =Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the independent F(u, v) = eU+v, ду u = x³, v= 4xy ƏF %3D
- Find both first partial derivatives. z = 9xVy az az ду ||Let -3x³ + 3y³ + 2z³ + xyz - 673 = 0. Use partial derivatives to calculate and дz Oz дх ду Oz дх (-6,-1,2) = Oz ду (-6,-1,2) = Add Work Check Answer at the point (-6, -1, 2).Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = s + 2t – u, az əz az as' at' əu y = stu?; when s = 3, t = 1, u = 5 az as az at əz = ди II
- Use the Chain Rule to evaluate the partial derivative that the point (q, r) = (2, 2), where h(u, v) = ue", u = qª, v = qr². (Use symbolic notation and fractions where needed.) dh əq \(q.r) =Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, əz Əz Əz Əs' at ди y = stu²; when s 3, t = 2, u = 1 = 8[8 8[= = Əz ди IIFind the indicated partial derivative. ази Ərəsət II V = In(r³ + s + t5); 2³v Ərəsət Y