Hello, can you help me explain the steps that I did? I don't know how to explain this very detailed! like other people. This is Calculus by the way.

O . f ( w ) = 6 . Sin ( An ) derivative: d - 6 cos( TL) 2. 3 = to Cos Time 3 TE COS 2 Horizontal tangents where first derivative is ZUNO. O 3 71 COS/ I'M 0 Cos ( TIM = 0 Cos ( an + 1 ) To = 0 heveg 1 = ah+ , nez flu ) = at on = 27 the equation of tangent line at ( x, ,y, ) ( - 71 = m ( n - n, ) MIE 27 1= 27 3 x 2 = (3) 3 3 1 1 = 9 m = f ( 27 )213 Flu ) = than : f' ( ) = 2 3 Than: - /3 1 (27) = 2(27 ) (3) X CH / 32 3 E Here equation of line is 1 - 9 : ( n - 27)( 5 ) 94- 81 = 2(1- 27) 94- 81 = 20 - 54 94= 2x- 54 +81 94= 2x + 27 9 = 2mm + 3 Now estimate flag ) using the equation? 2 ( x ) + 3 Put 1= 29. 0.053 % 3 + 4 20 dewvatives d = d 20 2 20 dy + amy - do2 . dy - 20 du - 2 ny dy - 20 - any dy - 20 24 24 4 = +