Question: Complete parts (a) through (0) below for the function f(x)=-6x3-18x2144x-10(a) Find the domain.The domain is (Type your answer in interval notation.)(b) Find the first derivative.f'(x)=-18x2-38x144(c)

Complete parts (a) through (0) below for the function f(x)=-6x3-18x2144x-10(a) Find the domain.The domain is (Type your answer in interval notation.)(b) Find the first derivative.f'(x)=-18x2-38x144(c) Find all critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The critical point/(s) is/are(Type an ordered pair. Use a comma to separate answers as needed.)B. There are no critical points.

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