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what is the derivative of 5/x^3

 Mar 10, 2016
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Possible derivation:
d/dx(5/x^3)
Factor out constants:
  =  5 (d/dx(1/x^3))
Use the power rule, d/dx(x^n) = n x^(n-1), where n = -3: d/dx(1/x^3) = d/dx(x^(-3)) = -3 x^(-4):
  =  5 (-3)/x^4
Simplify the expression:
Answer: |  =  -15/x^4

 Mar 10, 2016

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