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Question

Let *W*(*s*, *t*) = *F*(*u*(*s*, *t*), *v*(*s*, *t*)), where *F*, *u*, and *v* are differentiable, and the following applies.

u(−9, 6) | = | −6 | v(−9, 6) | = | −4 | |

u_{s}(−9, 6) |
= | 0 | v_{s}(−9, 6) |
= | 5 | |

u_{t}(−9, 6) |
= | 7 | v_{t}(−9, 6) |
= | −5 | |

F_{u}(−6, −4) |
= | 2 | F_{v}(−6, −4) |
= | 4 |

Find W_{s}(−9, 6) and W_{t}(−9, 6).

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