Find the derivative of:y= (ax + sqrt of x^2 +b^2)^-2

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The discussion focuses on finding the derivative of the function y = (ax + √(x² + b²))⁻². One participant presents a derivative calculation resulting in -2(ax + √(x² + b²))⁻³ * (a + 2/√(x² + b²)) * 2x, while another agrees but notes a discrepancy regarding the term 2/√(x² + b²). There is also a mention of an alternative expression involving u, suggesting a different approach to the derivative. The conversation highlights confusion over the correct application of the chain and product rules in differentiation. Clarification on the derivative's accuracy is sought among participants.
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The question is Find the derivative of:
y= (ax + sqrt of x^2 + b^2)^-2

I got this

-2(ax + sqrt of x^2 + b^2)^-3 *(a+ 2/ sqrt of x^2 + b^2) *2x

but i dno if this is right, can someone help me.
 
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Yea I got the same thing minus 2/ sqrt of x^2 + b^2

It should be 1/(2*biggiantmess^1/2)

or u^1/2 = 1/(2*u^1/2)
 

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