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# help w/ derivative quotient rule

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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

The derivative is $$-\frac{3}{2} x^{-7/2} + \frac{7}{4} x - 3x^{3/2}$$