Bài tập Toán DIFFERENTIATION 04

Created by T Madas Question Carry out the following differentiations a) d y3 + y + dy b) d   7t − 4t  dt   c) d ax + bx + c dx d) d 1 1  z −  dz  z d 1 1 1  z − = z+ dz  z z e) d  54 k   w + 2 dw  w  d  54 k  − 15 2k  w + 2= w − dw  w  w ( ( ) d y + y + = 12 y + dy ( ) d −1   7t − 4t  = 14t − 2t dt   ) d ax + bx + c = 2ax + b dx ( Created by T Madas ) Created by T Madas Question a) If A = π x − 20 x , find the rate of change of A with respect to x b) If V = x − 2π x3 , find the rate of change of V with respect to x c) If P = at − bt , find the rate of change of P with respect to t d) If W = 6kh − h , find the rate of change of W with respect to h e) If N = ( at + b ) , find the rate of change of N with respect to t dA dV dP dW −1 = 2π x − 20 , = − 6π x , = 2at − b , = 3kh − , dx dh dx dt dN = 2a 2t + 2ab dt Created by T Madas Created by T Madas DIFFERENTIATING INDICES Created by T Madas