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Mathematics 22 Online
OpenStudy (anonymous):

derivative of radical x

zepdrix (zepdrix):

\[\sqrt x=x^{1/2}\] Apply the power rule from here :D

OpenStudy (anonymous):

whats the power rule 1/2x^-.5 ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

it said its wrong

OpenStudy (anonymous):

its 1/4

OpenStudy (anonymous):

x=4?

zepdrix (zepdrix):

\[\frac{ 1 }{ 2 }x^{-\frac{ 1 }{ 2 }}=\frac{ 1 }{ 2 }\frac{ 1 }{ \sqrt x }\]

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

i guess ahah i didnt know that it mattered

OpenStudy (anonymous):

yea once you find the derivative, you just plug in for x

OpenStudy (anonymous):

can you tell me this other one???

OpenStudy (anonymous):

\[p(\Theta)=\sqrt{5\Theta} ;pprime(1)\]

zepdrix (zepdrix):

\[p(\theta)=\sqrt{5\theta}=\sqrt{5}\theta^{1/2}\] \[p'(\theta)=\sqrt5 *(1/2)*\theta^{-1/2}=\frac{ \sqrt5 }{ 2\sqrt \theta }\] \[p'(1)=\frac{ \sqrt5 }{ 2\sqrt1 }=\frac{ \sqrt5 }{ 2 }\]

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