Bài tập Toán DIFFERENTIATION 06

Created by T Madas Question Evaluate the following a) d  43   6x − 2x  dx   8x − 5x b) d 1  −  dx  x x − x −2 + x c) d 3 27   x−  dx  x  x − + 27 x −2 d) d 3 x −2   dx  x 32  −3x −2 + 3x e) d     −  dx  x  x  −x − 32 Created by T Madas − 52 +1x − 52 − 32 Created by T Madas Question Evaluate the following a) d  x + x2    dx  x  x− + x 2 b) d  4x + x    dx  x  −2 x −2 − x c) d  x2 +    dx  x3  − x −2 − x −4 d) d  1− x    dx  x3  − − x −4 + x e) d  x5 − x x    3x dx    x−3 − x− 1 − 52 Created by T Madas Created by T Madas Question Differentiate the following expressions with respect to x a) y = b) y = c) y = d) y = e) y = 4+ x 2x dy = −6 x −4 − x −3 dx x + 3x x dy − 12 12 = x + x dx x+4 x dy −7 = −5 x − x −3 dx x3 x ( 2x − 4) 3x2 ( x + )( x − 3) x5 dy −3 −5 = − x + 2x dx dy = − x −4 − x −5 + 15 x −6 2 dx Created by T Madas