Practice applying the product rule.
You might need: Calculator

Problem

  • Let g be a function such that g, left parenthesis, 9, right parenthesis, equals, 0 and g, prime, left parenthesis, 9, right parenthesis, equals, 2.
  • Let h be the function h, left parenthesis, x, right parenthesis, equals, square root of, x, end square root.
Evaluate start fraction, d, divided by, d, x, end fraction, open bracket, g, left parenthesis, x, right parenthesis, dot, h, left parenthesis, x, right parenthesis, close bracket at x, equals, 9.
  • Your answer should be
  • an integer, like 6
  • 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
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i