(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem is attached.

The correct answers are:

f'(1) = -68

∂g/∂s(1, 1) = 14

∂g/∂t(1, 1) = -136

2. Relevant equations

Differentiation and partial differentiation.

3. The attempt at a solution

I'm at the f'(1) part. I differentiated each component of F(2 – 3t + 2t^2, 19 – 27t + 9t^2, -4 + 3t + 2t^2) to get f'(t) = F(-3 + 4t, -27 + 18t, 3 + 4t) and then f'(1) = F(1, -9, 7). I'm not entirely certain if what I did is correct so far. If it is, what do I do next? If I omitted something important, tell me.

Any help in solving this problem would be greatly appreciated!

Thanks in advance!

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# Homework Help: Find f'(1), ∂g/∂s(1, 1), and ∂g/∂t(1,1).

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