Derivative of y=ln|2-x-5x^2|: 1+10x/-2+x+5x^2

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SUMMARY

The derivative of the function y = ln|2 - x - 5x²| is correctly expressed as (1 + 10x) / (-2 + x + 5x²). The discussion highlights a common mistake in handling absolute values during differentiation, where the absolute value signs can be ignored when determining the derivative. The participant initially derived -1 - 10x / (2 - x - 5x²), which is mathematically equivalent but presented with different signs. This emphasizes the importance of sign placement in calculus derivatives.

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y = ln|2-x-5x^2|

when you take the derivitve of somthing like this you can ignore the abs value signs right?

for the ans i got -1-10x / 2-x-5x^2
the answer is 1+10x / -2+x+5x^2

i obviously made some mistake some where because i have the same number just with different signs
 
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The two answers are the same. If the first answer is given by -a/b[/tex], the second one would be a/-b. The negative is just in a different place.
 
thanks i didt see that
 

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