Find the x -coordinates of all relative maxima of f(x) i f(x)=-(3)/(4)x^4-3x^3+81x^2-37 Answer Attemptiout of 4 (4) Additional Solution No Solution z=

To find the x-coordinates of all relative maxima of the function , we need to find the critical points of the function and then determine which of these points correspond to relative maxima.Step 1: Find the derivative of the function . Step 2: Set the derivative equal to zero and solve for to find the critical points. The critical points are , , and .Step 3: Use to determine the nature of each critical point.Find the second derivative of . Evaluate the second derivative at each critical point: , so is a relative minimum. , so is an inflection point. , so is a relative minimum.Therefore, the x-coordinate of the relative maximum of the function is .