Q1. Differentiate the functions below with respect to x.
(a) y = x^5(4x + 5)^2
(b) y = x^3 /
(c) y = (x^2 + 3x – 5)^3
(a) dy/dx = 5x^4.(4x + 5)^2 + x^5.2(4x + 5).(4)
dy/dx = x^4.(4x + 5){5.(4x + 5) + 8x}
dy/dx = x^4.(4x + 5)(28x + 25)
(b) the function here is incomplete
(c) y = (x^2 + 3x - 5)^3
dy/dx = 3(x^2 + 3x - 5)^2(2x + 3)