Solve all questions in detail

function 1) FIND the equation of the Normal line to the f(x ) = 3x ( ex tsx+6) at the point x = 0 Note: Remember that the normal line is perpendicular to the tangent line . what is true about the slopes of perpendicular lines? 2 ) Evaluate the derivative, f'(x ), for the following functions a ) fix ) = sec " ( 3 x 2 ) bj flc ) = 2tan-1x ( Note that this is " 2 to the power of tan 'x ) 3 ) suppose that fle ) = 2 AND f'le ) = TT. Evaluate (F-1) 12 ) rag 4 ) The Witch of Agivesi is a famous algebraic curve , whose equation can be given by ( x 2 + 402 ) y = 803 where a is a constant. use implicit differentiation to find dy 5 ) CONsider the function F(x) = 3 VI a) FIND the linear approximation Loc) to y = f(x) near x = 27 b) use your linear approximation from part a to approximate the value of 3127.01 to three decimal places.function 1) FIND the equation of the Normal line to the f(x ) = 3x ( ex tsx+6) at the point x = 0 Note: Remember that the normal line is perpendicular to the tangent line . what is true about the slopes of perpendicular lines? 2 ) Evaluate the derivative, f'(x ), for the following functions a ) fix ) = sec " ( 3 x 2 ) bj flc ) = 2tan-1x ( Note that this is " 2 to the power of tan 'x ) 3 ) suppose that fle ) = 2 AND f'le ) = TT. Evaluate (F-1) 12 ) rag 4 ) The Witch of Agivesi is a famous algebraic curve , whose equation can be given by ( x 2 + 402 ) y = 803 where a is a constant. use implicit differentiation to find dy 5 ) CONsider the function F(x) = 3 VI a) FIND the linear approximation Loc) to y = f(x) near x = 27 b) use your linear approximation from part a to approximate the value of 3127.01 to three decimal places