FTC Example

AP Calculus · Axiom Academy

Applying both parts of the Fundamental Theorem of Calculus By FTC Part 1: g'(x) = 3x^2 - 2 . g(2) = (8 - 4) - (1 - 2) = 4 - (-1) = 5 g'(2) = 3(2)^2 - 2 = 12 - 2 = 10 This means the accumulation function is increasing at a rate of 10 when x = 2 . What does g'(x) = 3x^2 - 2 represent geometrically? You've worked through the full solution. Review each step to solidify your understanding.

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