Find (5 cos(x) + 6 sec²(x)) dx (5 cos(x) + 6 sec²(x)) dx = +C

Differentiate while showing the necessary steps. y=g(x)=(cos⁡(x))/x^2

Use a computer algebra system to analyze the function over the given interval.   f(x)=sin(x)-(1/3)sin(3x)+(1/5)sin(5x), [0, pi)   a) Find the first and second derivatives of the function. f'(x)=cos(5x)-cos(3x)+cos(x) f"(x)=?   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)=? relative minimum (x,y)=?   points of inflection (there are 4): (x,y)=? (smallest x-value) (x,y)=? (smaller x-value) (x,y)=? (larger x-value) (x,y)=? (largest x-value)