Review your understanding of basic differentiation rules with some challenge problems.

Problem

Consider the functions f and g with the graphs shown below.
If F, left parenthesis, x, right parenthesis, equals, 2, space, f, left parenthesis, x, right parenthesis, minus, 4, space, g, left parenthesis, x, right parenthesis, what is the value of F, prime, left parenthesis, minus, 1, right parenthesis, space?
space
  • 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
space