Compute the derivative using the chain rule

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Let f(x, y) = x2 + y and let c(t) = (et, e-t).

a. Compute (d/dt) f(c(t)) using the Chain Rule.

b. Compute (d/dt) f(c(t)) without using the Chain Rule, but instead first writing the composition f(c(t)) as a function of t, then differentiating with respect to t in the usual Calc I way.

Reference no: EM131003881

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