bewellplus.gsu.edu
Anna2662 Anna2662
  • 17-10-2014
  • Mathematics
Answered

y=square root of 13x
What is the derivative of y? 

Verified Answer :

konrad509
konrad509 konrad509
  • 17-10-2014

\(y=\sqrt{13x}\\ y'=\frac{1}{2\sqrt{13x}}\cdot13\\ y'=\frac{13}{2\sqrt{13x}}\)

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DavidOrrell
DavidOrrell DavidOrrell
  • 17-10-2014

f(x) = √13x = √13 √x = √13 x^0.5
f'(x) = (√13 0.5) x^-0.5 = ((√13)x^-0.5)/2 = √13 / 2x^0.5 = √13 / 2√x

Hence, the derivative of y is √13 / 2√x

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