Bài tập Toán DIFFERENTIATION 09

Created by T Madas Question (non calculator) For each of the following curves find an equation of the normal to the curve at the point whose x coordinate is given a) f ( x ) = x3 − x + , where x = b) f ( x ) = x3 − x + 11x , where x = c) f ( x ) = x − x3 + where x = d) f ( x ) = x5 − 18 x + 11 where x = Created by T Madas y = x − 30 y = x − 15 12 y + x + 34 = y + x + 32 = Created by T Madas Question (non calculator) For each of the following curves find an equation of the normal to the curve at the point whose x coordinate is given a) f ( x ) = x3 − x − 10 x + 18 , where x = b) f ( x ) = x3 − x + x + , where x = c) f ( x ) = x3 + x − 18 x − 10 where x = −2 d) f ( x ) = −2 x3 + x − , where x = Created by T Madas x + 2y = x+ y =5 22 y + x = 42 y = x − 10 Created by T Madas Question (non calculator) For each of the following curves find an equation of the normal to the curve at the point whose x coordinate is given a) y = x ( x − ) + b) y = x − − , where x = x 16 , where x = x c) y = x + x − 32 , where x = d) y = x − x − − , where x = x Created by T Madas x − 14 y − 15 = x + y = 88 x + 13 y = 67 x + y + 19 =