I Find the Equation of the tangent line -to the invesse at the given popot ( point ). 1) F ( x ) = 7x + Sin (24 ) @ (010) A) F ( X ) = 7*+ sin ( 2x ), at co,0 To find slope of a F( ), Derivation of F (X ) : F' ( x ) = 2 ( 7* + sin2x ) F ( X ) = 7+ 2 cos (x ) Put *= 0 F ( 0 ) = T Derivative of invesse Function. ( F ' ) ( X ) = +10 = 7+2 Hence ( F' ) ' ( F(0) = ( F ' ) (0 ) = 9 The Slope is 1/9 Equation of the tangent has form of J -go = a (x - * 2 ) ( 40 1 80 ) = (0 1 0 ) so the tangent is: y= ( 9 ) x Cor )