If the function f(x) = kx3 - 9x2 + 9 x + 3 is monotonically increasing in every interval, then
Question
Solution 1
To determine if the function is monotonically increasing in every interval, we need to find its derivative and set it greater than zero.
The derivative of the function f(x) = kx^3 - 9x^2 + 9x + 3 is f'(x) = 3kx^2 - 18x + 9.
Setting f'(x) > 0 gives us 3kx^2 - 18x + 9 > 0.
This is a quadratic inequ Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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