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