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Derivatives basics challenge


Let f, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, minus, 2.
What is the value of limit, start subscript, h, \to, 0, end subscript, start fraction, f, left parenthesis, 1, plus, h, right parenthesis, minus, f, left parenthesis, 1, right parenthesis, divided by, h, end fraction, question mark
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4