Derivative

[vivid anvil]

What is the derivative of this? I believe I know but my TA seems to have a different answer.

[prime stone]

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[trim siren]

use quotient rule

[vivid anvil]

is it possible to divide everything with x^1/2 before hand to avoid using quotient rule?

[trim siren]

$\frac{d}{dx} \frac{f(x)}{g(x)} = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{[g(x)]^2}$

[feral crypt]

;( | 追放された興奮

[trim siren]

well, look at the equation

[vivid anvil]

compute derivatives of the following funcitons

functions

[trim siren]

$\frac{(2x-2)\sqrt{x}-\frac{1}{2\sqrt{x}}(x^2-2x+1)}{x}$

[feral crypt]

;( | 追放された興奮

[fiery lake]

why on earth would you use quotient rule for this