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Power rule challenge

Problem

If the slope of the curve y=kx4+kx3 at x=1 is 4, then what is the value of k?
k=
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
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