Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. u(2, 1)  =  −2      v(2, 1)  =  −1 us(2, 1)  =  −3      vs(2, 1)  =  −4 ut(2, 1)  =  5      vt(2, 1)  =  −6 Fu(−2, −1)  =  0      Fv(−2, −1)  =  4 Find Ws(2, 1) and Wt(2, 1).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.

u(2, 1)  =  −2      v(2, 1)  =  −1
us(2, 1)  =  −3      vs(2, 1)  =  −4
ut(2, 1)  =  5      vt(2, 1)  =  −6
Fu(−2, −1)  =  0      Fv(−2, −1)  =  4
Find Ws(2, 1) and Wt(2, 1).
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