`y = ln| 1 + t - t^3 |` Differentiate the function.

Textbook Question

Chapter 3, 3.6 - Problem 16 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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hkj1385 | (Level 1) Assistant Educator

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Notes:- 1) If y = lnx ; then dy/dx = 1/x

2) If y = x^n ; where n = constant , then 

dy/dx = n*{x^(n-1)}

3) If 'y' is a function which contains sub-functions, then the last function is differentiated first,then the second last and so on

Now, 

the given question is :-

`y = ln(1+t-t^3)`

Thus, `dy/dt = y' = {1/(1+t-t^3)}*{1-3t^2}`

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