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I tried using the quotient rule for this problem and got:

 

(-7x^(-7/2) + 14x - 12x^(3/2) ) 4x

 

This didn't match up with my friend or mathway's answer and I'm not quite sure where I went wrong. 

 

I found f'(x) to be: (-6x^(-7/2) + 21x - 16x^(3/2))

and g'(x) to be: (x^-1/2)

 

Then, I just followed the quotient rule and combined like terms.

 

Thanks for any help!

 Oct 20, 2022
 #1
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The derivative is \(-\frac{3}{2} x^{-7/2} + \frac{7}{4} x - 3x^{3/2}\)

 Oct 20, 2022

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