Bài tập Toán DIFFERENTIATION 08

Created by T Madas Question (non calculator) For each of the following curves find an equation of the tangent to the curve at the point whose x coordinate is given a) y = x − x + 13 , where x = y = x − 23 b) y = x + x + , where x = y = 5x − c) y = x + x + , where x = −1 y = 2x + d) y = x3 − x + , where x = y = 2x + e) y = x3 − x − , where x = y = x − 19 f) y = 3x3 − 17 x + 24 x − , where x = Created by T Madas y = −8 x + 11 Created by T Madas Question (non calculator) For each of the following curves find an equation of the tangent to the curve at the point whose x coordinate is given f ( x ) = x3 − x + x − , where x = y = −2 x − b) f ( x ) = x3 + x − x − , where x = y = x − 12 a) c) f ( x ) = x3 − x + x − , where x = d) f ( x ) = x3 − x − x − , where x = e) f ( x ) = x3 + x − x − , where x = Created by T Madas y = x − 13 y = −2 x − y = 6x − Created by T Madas Question (non calculator) For each of the following curves find an equation of the tangent to the curve at the point whose x coordinate is given a) y = x − − , where x = −2 x b) y = x3 − x + + , where x = x c) y = x + − , where x = x d) y = x − , where x = x e) y = x − 32 , where x = x Created by T Madas 13 x + y + = y = 4x − y = 3x + x − y − 20 = y = 11x − 28