CH 3 handout_page_4

CH 3 handout | page 4 | https://thedailydialectics.com/pdfs/education/calculus/calculus-2-2413-HCC/CH 3 handout/CH 3 handout.pdf

Find the critical numbers for the function. 4) £(x) = 2 sin x - cos 2x on the interval (0, 27]. 4) f (x) =2 cos x - (-2 sin 2x) = 2 cos x + 2 sin 2x =2cosx +2 (2 sin x cos x) =2 cos x + 4 sin x cos x = 2 cos x(1 +2 sin x) f'(x) =0— 2cosx(1 +2 sinx) =0 —>2cosx=0 or 1+2sinx=0—~>cosx=0 or sinx =-1 x=…