morenamor2001 morenamor2001
  • 26-06-2021
  • Mathematics
contestada

Find all derivatives of y^n of the function y=√x+5

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caylus
caylus caylus
  • 26-06-2021

Hello,

As somebody has distroyed my question, (may be he have not understood ?)

i will reply to y=(√x)+5

[tex]\displaystyle \boxed{\dfrac{d^n y}{dx^n} =(-1)^n*n!! *\dfrac{1}{2^n} *x^{-\frac{2n+1}{2} }\\}\\y'=\dfrac{1}{2} *x^{-\frac{1}{2}} \\\\y''=-\dfrac{1}{4} *x^{-\frac{3}{2}} \\...\\[/tex]

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