Find dy/dx at x = 2, if y =6u^2-11 and u = 3x^2 +2

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SUMMARY

The discussion centers on finding the derivative dy/dx at x = 2 for the function y = 6u^2 - 11, where u = 3x^2 + 2. Two methods were considered: first deriving y and then substituting u, and second substituting u first, simplifying, and then deriving. The correct method is the second one, yielding a derivative of f'(2) = 2016, while the first method incorrectly resulted in f'(2) = 144.

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srizen
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the only part I am confused about is if i derive
y = 6u^2-11 first, then substitute u with 3x^2 +2.
or if i substitute u with 3x^2 +2, then expand/simplify, then derivate the entire question.

i got two answers.
using the first method f'(2) = 2016

and the second method f'(2) = 144

which method is right?

or am i just completely wrong.
 
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2nd method is correct and its answer is 2016
 
Ravi Mandavi said:
2nd method is correct and its answer is 2016

alright, thanks for the clarification
 

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