Question : 171) ∂u/∂x for u = f(r, s, t); r = : 1757198

171) ∂u/∂x for u = f(r, s, t); r = g(y), s = h(z), t = k(x, z)

172) Find dy/dx at the point (1, 1) for 2x² + 6y³ + 5xy = 0.

A) -9/23 B) -9/11 C) 9/23 D) -7/11

173) Find dy/dx at the point (-1, 1) for 2x - 2/y + 5x²y² = 0.

A) -2/3 B) - 1 C) 1 D) 2/3

174) Find dy/dx at the point (2, 1) for ln x + xy² + ln y = 0.

A) 1 B) -3/10 C) -1 D) 3/10

175) Find dy/dx at the point (1, 0) for cos xy + yex = 0.

A) e B) 1 C) 0 D) 1e

176) Find dy/dx at the point (1, -1) for -5xy² - 2x²y - 6x = 0.

A) -7/8 B) 3 C) -7/3 D) 7/8

177) Find ∂y/∂x at the point (6, 4, 2) for -6x² + 2 ln xz + 6yz² - 6ez = 0.

A) - 215/72 B) 215/36 C) 217/72 D) 215/72

178) Find ∂z/∂y at the point (10, 1, -1) for ln [yz/x] - exy+z² = 0.

A) 2e11 - 1/1 - 10e11 B) 1 - 2e11/1 - 10e11 C) 10e11 - 1/1 - 2e11 D) 1 - 10e11/1 - 2e11

179) Find ∂x/∂y at the point [1, π/32, 8] for ex²cos yz = 0.

A) 4 B) -1/4 C) - 4 D) 1/4

180) Find ∂y/∂z at the point (6, 3, 1) for 1/x² + 5/y² + 5/z² = 0.

A) -1/27 B) 1/27 C) 27 D) - 27