1 Find the first and second derivative of the following function f(x) (Note, this requires the...

  

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1 Find the first and second derivative of the following function f(x) (Note, this requires the product rule) f(x) = (3x2+8) ex f(x) = (3x^2 + 8) e^x } QUESTION 2 Higher derivatives a. Find the first and second derivative f(x) and f"(x) for the function f(x) x4 - 6x2 + 4 Where is f'(x) = 0?, positive?, negative? { f(x) = x^4 - 6 x^2 + 4 } b. Find the first three derivatives g'(x), g"(x), and g"(x) for the function a(x) = x ex { g{x) = x e^x } c. Find the fifth derivative of the function f(x) = 2 x5 { f(x) = 2 x^5 1 Find the first and second derivative of the following function f(x) (Note, this requires the product rule) f(x) = (3x2+8) ex f(x) = (3x^2 + 8) e^x } QUESTION 2 Higher derivatives a. Find the first and second derivative f(x) and f"(x) for the function f(x) x4 - 6x2 + 4 Where is f'(x) = 0?, positive?, negative? { f(x) = x^4 - 6 x^2 + 4 } b. Find the first three derivatives g'(x), g"(x), and g"(x) for the function a(x) = x ex { g{x) = x e^x } c. Find the fifth derivative of the function f(x) = 2 x5 { f(x) = 2 x^5