`y = root(3)(6x^2 + 1)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 13 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace's profile pic

mathace | (Level 3) Assistant Educator

Posted on

Given `y=root(3)(6x^2+1)`

Rewrite the function as `y=(6x^2+1)^(1/3)`

Find the derivative using the Chain Rule.






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kandukurimaths's profile pic

kandukurimaths | Student, Graduate | (Level 1) Honors

Posted on


 `y^3` =6+1 

apply derivative both side with respect x

using chain rule

 f(g(x)) = f'(g(x))g'(x)





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