Derivative practice two ways Find the indicated derivative

Chapter 11, Problem 36E

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QUESTION:

Derivative practice two ways Find the indicated derivative in two ways:

a. Replace x and y to write z as a function of t and differentiate.

b. Use the Chain Rule.

\(z^{\prime}(t), \text { where } z=\ln (x+y), x=t e^{t} \text {, and } y=e^{t}\)

Questions & Answers

QUESTION:

Derivative practice two ways Find the indicated derivative in two ways:

a. Replace x and y to write z as a function of t and differentiate.

b. Use the Chain Rule.

\(z^{\prime}(t), \text { where } z=\ln (x+y), x=t e^{t} \text {, and } y=e^{t}\)

ANSWER:

Solution 36E

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