Find the x-coordinates of all relative maxima of f(x) f(x)=-x^3-9x^2+81x-16 Answer Attemptiout of Additional Solution (C) No Solution x=

To find the x-coordinates of the 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 .The derivative of is given by: Step 2: Set the derivative equal to zero and solve for . or Step 3: Determine the second derivative of the function .The second derivative of is given by: Step 4: Evaluate the second derivative at the critical points. , the critical point corresponds to a relative minimum.Since , the critical point corresponds to a relative maximum.Therefore, the x-coordinate of the relative maximum of the function is .