nOBLe21
nOBLe21 nOBLe21
  • 24-03-2018
  • Mathematics
contestada

(1) Differentiate y=2/√X and (2) find dy/dx y=9x^3-1/x^5+5x^2-1

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CastleRook
CastleRook CastleRook
  • 04-04-2018
The derivatives of the expression will be:
a] y=2/√x
The expression can be written as:
y=2x^-0.5
dy/dx=2(-0.5)x^(-0.5-1)
dy/dx=-x^-1.5

Answer: dy/dx=-x^-1.5

b] y=9x^3-1/x^5+5x^2-1
the expression can be written as:
y=9x^3-x^-5+5x^2-1
thus
dy/dx=27x²+5x^-6+10x

Answer:

dy/dx=27x²+5/x^6+10x

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