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Calculus with Applications Questions: It is very easy to get the rules for derivatives mixed up with the rules for integrals/antiderivatives. Below, I have given you a list of functions. R For each function f(x), you are expected to (a) find f 0 (x), the derivative, and (b), find f(x) dx, the in-tegral/ antiderivative. 1. f(x) = x 5 2. f(x) = 3 2x4 3. f(x) = 1 x 4. f(x) = e 3x 5. f(x) = 1 1−x 6. f(x) = (x 2 + 1)(x 3 − 4) 7. f(x) = 6x 2+9 3x 8. f(x) = 3x(x 2 + 5)4 9. f(x) = 5x 2 e 3x 3+7

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