Find the point at which the following function is a maximum: - 2x² + 3x + 6. A)x = 3 B)x = 1 C)x = 0 D)x = -3

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Quizplus · Accepted Answer

To find the maximum point of the function, we can take the derivative of the function with respect to x and set it equal to zero. So, the derivative of the function is 11eab9ea_e598_983e_b53a_79c22b35e9eb_TB5481_11 - 4x² + 3. Setting it equal to zero gives us 4x = 11eab9ea_e598_983e_b53a_79c22b35e9eb_TB5481_11 + 3, which means x = (11eab9ea_e598_983e_b53a_79c22b35e9eb_TB5481_11 + 3)/4. Plug this value of x back in the original function to get the maximum value, which is 11eab9ea_e598_983e_b53a_79c22b35e9eb_TB5481_116. By solving this equation, we get x = 1 as the value of x that results in the maximum point of the function.

Find the Point at Which the Following Function Is a Maximum