Note: Please show full steps of solutions and read the questions carefully to understand it.

Q1)

(1 point) Let f(x) = 7 cos(x) sin '(x). Find f' (x). f'@) =(1 point) Find the equation of the line that is tangent to the curve y = 3x cos I at the point (7, -3x). The equation of this tangent line can be written in the form y = max + b where m and b =_ 951113: {1 pelntj LE'E at) 2 m Then 1\" {I} = The equation of the tangent line to y 2 at] at a. = 17,53 can be written in the term 3; 2 ms: + E:- where m = and b: \fFor ( question 1 ) y=3n is required tangent line 80 m= - 3 and b= 0 For ( questiony ) 6 ( x ) = 7 Cost fin" ( x ) = ) f' (x ) = 7 d ( cosm ) ( fin 7 ( x ) ) + 7losn a ( his (x ) ) = - 7 hinx . fin"( x ) + 7 coxx . J JI- X2 7 8' (x ) = 7Cosm - 7 Sina. Sin' ( x ) I have checked both answers online also, they are correct