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AP®︎ Calculus AB (2017 edition)

Course: AP®︎ Calculus AB (2017 edition) > Unit 3

Lesson 1: Basic differentiation rules
Math
AP®︎ Calculus AB (2017 edition)
Derivative rules
Basic differentiation rules
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Basic derivative rules: table

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Problem

The following table lists the value of functions g and h, and of their derivatives, g, prime and h, prime, for x, equals, 3.
xg, left parenthesis, x, right parenthesish, left parenthesis, x, right parenthesisg, prime, left parenthesis, x, right parenthesish, prime, left parenthesis, x, right parenthesis
3space, space, 9space, space, space, 0minus, 15space, space, space, 6
Let function G be defined as G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.
G, prime, left parenthesis, 3, 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, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
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