Practice applying the product rule.
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Problem

The following table lists the values of functions g and h, and of their derivatives, g, prime and h, prime, for x, equals, 0.
xg, left parenthesis, x, right parenthesish, left parenthesis, x, right parenthesisg, prime, left parenthesis, x, right parenthesish, prime, left parenthesis, x, right parenthesis
0minus, 3minus, 153
Let function F be defined as F, left parenthesis, x, right parenthesis, equals, g, left parenthesis, x, right parenthesis, dot, h, left parenthesis, x, right parenthesis.
F, prime, left parenthesis, 0, right parenthesis, equals
  • 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