Take the derivative respect to U

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SUMMARY

The discussion focuses on taking the derivative of the equation V = √(T/u) with respect to u. The correct derivative is derived as V' = -(1/2) * T^(1/2) * u^(-3/2), confirming that T is treated as a constant during differentiation. The final expression simplifies to V = T^(1/2) * u^(-1/2), aligning with the power rule of differentiation. The participants validate the correctness of the derivative, emphasizing the importance of including constants in the final answer.

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V = \sqrt{T/u}

Take the derivative respect to U. I'm having trouble with this.

\sqrt{T} * 1/\sqrt{u}


So would u look like this U^-(1/2)

since T is constant I'd leave it alone.

it would become -(1/2) * u^(-3/2)


Am I right or Am I wrong.
 
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Right now you can re-write the equation as V= T^(1/2)*u^(-1/2)
effectively this is in the form of y=c*x^n (just to go back to familiar notation)
what is the generic formula for this? Your close, but your leaving out the constant...

So what would the answer be once you include it?
 


V= T^(1/2)*-(1/2) * u^(-3/2)
 


looks pretty good to me!
 


since T is a constant your answer is right
 


Thanks for the assistance!
 

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