Chain Rule with one independent variable Use

Chapter 11, Problem 13E

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QUESTION:

Chain Rule with one independent variable Use Theorem 12.7 to find the following derivatives. When feasible, express your answer in terms of the independent variable.

dU/dt, where \(U=\ln (x+y+z), x=t, y=t^{2}, \text { and } z=t^{3}\)

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QUESTION:

Chain Rule with one independent variable Use Theorem 12.7 to find the following derivatives. When feasible, express your answer in terms of the independent variable.

dU/dt, where \(U=\ln (x+y+z), x=t, y=t^{2}, \text { and } z=t^{3}\)

ANSWER:

Solution 13E

Step 1 :

Given  U  =

  x  =  t ,    y  =   ,     z  =

 =  + + ……………(1)

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