What is the mistake in solving this derivative?

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SUMMARY

The discussion centers on a common mistake in solving the derivative of the function represented by the expression (X² - x - 2) / (X² + 5x + 6). The user incorrectly applies the product rule and simplifies the expression, leading to an erroneous result of 8x² - 6x - 16 instead of the correct derivative, which is 6x² + 16x + 4. The key error identified is the miscalculation of the derivative of x², which should be 2x, not x.

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Hi everyone,

I'm having trouble solving this one. I just don't really see what I'm doing wrong.

Homework Statement


X² - x - 2
X² + 5x + 6


Homework Equations





The Attempt at a Solution


(( x-1 ) * x² + 5x + 6 ) - (( x + 5 ) * x²-x-2 )
( x² + 5x + 6)²

So 8x² -6x-16
(x² + 5x + 6)²

Now I know this isn't the correct awnser. Because it should say
6x² + 16x + 4
( x² + 5x+6)²

Could anyone point out to me what I'm doing wrong?
Thanks in advance.
Tim
 
Physics news on Phys.org


The derivative of x^2 is 2x, not x.
 

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