Differentiation

[OrvarBergmark]

x^1/2 (1-[x^-1/2])

Please help me with this example

 

[Deleted member 4993]

x^1/2 (1-[x^-1/2])

Please help me with this example

You know the derivative of x [sup:7ygwns95]1/2[/sup:7ygwns95]

You know how to apply quotient rule.

Where are you stuck?

 

[soroban]

Hello, OrvarBergmark!

\(\displaystyle \text{Differentiate: }\:f(x) \:=\:x^{\frac{1}{2}}\left(1-x^{-\frac{1}{2}}\right)\)

\(\displaystyle \text{You have: }\:f(x) \;=\;x^{\frac{1}{2}} - 1\)

Can you finish it?