Use the definition of the derivative (don't be tempted to take shortcuts!) to find the derivative of the function f(x) = 2x+7x. Then state the domain of the function and the domain of the de- rivative. Note: Enter intervals using interval notation. f'(x) = . Domain of f(x) = Domain of f'(x) =. Problem 6. (1 point) Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. You must get all of the answers correct to receive credit. x + 3x-17 x+3x2+5x 22 1. lim limx + 3x - 17 x3 limx + 5x-22 x-3 2. If f(x) is continuous at a, then f(x) is differentiable at a _3. If lim f(x) = 3 and lim g(x) = 0, then lim[f(x)/g(x)] x1 x1 does not exist __4. If '(5) exists, then then the limit lim f(x) is (5) 1 lim g(x) = 0, then lim[f(x)/g(x)] __5. If lim f(x) = 0 and lim x1 does not exist