MATH260—Week 6 LabName: Adebayo Adeniyi,Antiderivatives According to the first part of the fundamental theorem of calculus, the antiderivative reverses the derivative.If f(x) is a derivative, F(x) is the antiderivative.Directions:Look at the examples below and answer questions 1 and 2.Let f(x) be a derivative and F(x) be the antiderivative.a.)f(x) = 3x2b.)f(x) = 5x – 63
2) Find the antiderivative of f(x) = 3x5+ x – 4. Show all work. 3) How is an antiderivative related to a derivative? How can that relationship help you to check your antiderivatives and integrals answers?