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Find the second derivative of the polynomial.\newlinef(x)=4x2f(x) = -4x^2\newlineWrite your answer as a polynomial in xx or as a constant. Simplify any fractions.\newlinef(x)=f''(x) = ______

Full solution

Q. Find the second derivative of the polynomial.\newlinef(x)=4x2f(x) = -4x^2\newlineWrite your answer as a polynomial in xx or as a constant. Simplify any fractions.\newlinef(x)=f''(x) = ______
  1. Identify function and requirements: Step 11: Identify the function and what is required.\newlineWe need to find the second derivative of the polynomial f(x)=4x2f(x) = -4x^2.
  2. Find first derivative of f(x)f(x): Step 22: Find the first derivative of f(x)f(x). The derivative of 4x2-4x^2 with respect to xx is 8x-8x.
  3. Find second derivative of f(x)f(x): Step 33: Find the second derivative of f(x)f(x). The derivative of 8x-8x with respect to xx is 8-8.

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