Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = -x³ + 9x² - 7x - 7 concave upward concave downward Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = x² - 3x + 8 concave upward concave downward
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Step 1:** Find the second derivative of the function f(x) = -x^2 + 9x^2 + 7x Given f(x) = -x^2 + 9x^2 + 7x, the first derivative is f'(x) = -2x + 18x + 7 Taking the derivative again, we get the second derivative: f''(x) = -2 + 18 = 16 ** Show more…
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