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OpenStudy (anonymous):
how do u work this out √(y^15)
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OpenStudy (anonymous):
y^(15/2) e^(i pi floor(1/2-(15 arg(y))/(2 pi)))
OpenStudy (anonymous):
y^(15/2)
OpenStudy (anonymous):
7 remainer 1
OpenStudy (anonymous):
y^(15/2)+O(y^(25/2))
OpenStudy (anonymous):
y^(15/2)+O((1/y)^(25/2))
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OpenStudy (anonymous):
d/dy(sqrt(y^15)) = (15 sqrt(y^15))/(2 y)
OpenStudy (anonymous):
where did u get 25
OpenStudy (anonymous):
Possible derivation:
d/dy(sqrt(y^15))
| Use the chain rule, d/dy(sqrt(y^15)) = ( du)/( du) ( du)/( dy), where u = sqrt(y^15) and ( du)/( du) = HoldForm'(u):
= | HoldForm'(sqrt(y^15)) (d/dy(sqrt(y^15)))
| Use the chain rule, d/dy(sqrt(y^15)) = ( dsqrt(u))/( du) ( du)/( dy), where u = y^15 and ( dsqrt(u))/( du) = 1/(2 sqrt(u)):
= | HoldForm'(sqrt(y^15)) (d/dy(y^15))/(2 sqrt(y^15))
| The derivative of y^15 is 15 y^14:
= | ((15 y^14) HoldForm'(sqrt(y^15)))/(2 sqrt(y^15))
OpenStudy (anonymous):
y = 0
OpenStudy (anonymous):
it say
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OpenStudy (lgbasallote):
@best.shakir are you copy-pasting from wolframalpha?
OpenStudy (anonymous):
simplyfy √(y^15)
OpenStudy (anonymous):
y sq root 15
OpenStudy (anonymous):
yes best shakir l dnt understand
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OpenStudy (lgbasallote):
\[\huge \sqrt[m]{x^n}\]
does that help @tafara27 ?
OpenStudy (anonymous):
@lgbasallote u are good at explain
OpenStudy (lgbasallote):
uhh wait...wrote that wrong
OpenStudy (lgbasallote):
\[\huge \sqrt[m]{x^n} \implies x^{n/m}\]
does that help?
OpenStudy (anonymous):
yea thnks
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OpenStudy (lgbasallote):
welcome
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