Bài tập Toán DIFFERENTIATION 02

Created by T Madas Question Evaluate the following a) d x3 dx d x3 = 12 x dx b) d x5 dx d x5 = 35 x dx c) d x + 3x dx d) d x + 7x + dx e) d  12 −2   8x + x  dx   ( ) ( ) ( ) ( ) ( ( d x + x = x + 12 x3 dx ( ) ) ) d x + 7x + = 2x + dx ( ) d  12 −1 −2  −3  8x + x  = x − x dx   Created by T Madas Created by T Madas Question Differentiate the following expressions with respect to x dy = x − 24 x5 dx a) y = x − x b) y = x3 − x dy = 15 x − x dx c) y = x −3 + x −2 dy = −27 x −4 − 14 x −3 dx d) y = − x −1 dy = x −2 dx e) y = x + x dy −1 =7+ x dx Created by T Madas Created by T Madas Question Differentiate the following expressions with respect to x a) y = x6 − x dy = x5 − 14 x dx b) y = − x dy = 15 x dx c) y = x + x −2 dy = + 16 x −3 dx d) y = ( x − 1)( x + 3) dy = 16 x + dx e) y = x ( − 3x ) dy = 24 x − 48 x3 dx Created by T Madas