Consider g(x) = -10 arcsin ( - 12x)Determine the intervals on which g is decreasing.g is decreasing on:g is decreasing nowhere.Determine the intervals on which

Consider g(x) = -10 arcsin ( - 12x³)Determine the intervals on which g is decreasing.g is decreasing on:g is decreasing nowhere.Determine the intervals on which g is increasing.g is increasing on:g is increasing nowhere.Determine the value and location of any local minimum of f. Enter the solution in (x, g(x)) form. Ifmultiple solutions exist, use a comma-separated list to enter the solutions.g has a local minimum at:g has no local minimum.Determine the value and location of any local maximum of f. Enter the solution in (x, g(x)) form.multiple solutions exist, use a comma-separated list to enter the solutions.g has a local maximum at:g has no local maximum.