Not sure how to find all the points asked in part b. I only found the max by looking at the graph. Could you please go through the steps of finding all of these points please (see picture)

Use a computer algebra system to analyze the function over the given interval. f(x) = sin(x) - - sin(3x) + sin(5x), [0, 7] (a) Find the first and second derivatives of the function. F ( x ) = cos (x ) - cos (3x) + cos ( 5x) f"(x) = -sin(x) + 3sin(3x) - 5 sin (5x) (b) Find any relative extrema and points of inflection. (Round your answers to four decimal places. If an answer does not exist, enter DNE.) relative maximum (x, y ) = , 1.5333 relative minimum ( x, y ) = X points of inflection (x , y ) = (smallest x-value) X (x, y ) = (smaller x-value) (x, y ) = (larger x-value) (x, y) = (largest x-value)