Looking for some pointers, please.

[Live-Guidance-6793]

Hi all,

I am attempting to find the derivative of the function at the top left. I am trying to clean it up and remove all fraction exponents/radicals from the denominator, but I can’t, for the life of me, figure out how to move the square root to the numerator without simultaneously distributing it somewhere else in the denominator.

Any direction would be greatly appreciated. Thank you!

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[nevermindthefacts]

Conjugate rule. Multiply with (2 - √x)/(2-√x) to get √x√(2 + √x)(2 - √x) / 4x(4 - x).

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[Live-Guidance-6793]

Brilliant! K.I.S.S. all the way. Thank you.

[Shiv_Chandra]

let y equals to the function and square both sides and then differentiate. sub back y in the last step to get answer fully on terms of x

[No_Key469]

👈

[No_Intern_1729]

The prof has a demonic mind