Find dz d given: z = xeyy, x = = to, y= – 2 + 2t...

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Find dz d given: z = xeyy, x = = to, y= – 2 + 2t dz dt Your answer should only involve the variable t.

Let z(x, y) = xºy where x = tº & y = +8. Calculate dz by first finding dt dx -& dt dy and using the chain rule. dt dx d = dy

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Answer 1

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Som) 2=ney Substituting at n=ts y=2+2t J in z. 2=ts e3(-2+2t) =ts e 6+6+ dt dits é 6+ 6t ) dt Using multiplication rull + ts dz day) dy = dt dt y daa dt. t 49 dt te dna da da dt (49)9 dydy + dy dt. olo 8+7 =tquo. qtotta = +8.9f49)8.970 toot - 01700 +

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Answer 2

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Find dz d given: z = xeyy, x = = to, y= – 2 + 2t...

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Find dz d given: z = xeyy, x = = to, y= – 2 + 2t...

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