Y = -9(x^2- 3x)^7 please give full working?

Question

Y = -9(x^2- 3x)^7?

Use the rules of differentiation to find the derivatives of the following function. Simplify terms wherever possible, but it is not necessary to factorise and then cancel any of the expressions.

Answer 1

let u = x² - 3x
du / dx = 2x - 3
y = - 9 u^7
dy / du = - 63 u^6
dy / dx = (dy/du) (du/dx)
dy /dx = - 63 u^6 (2x - 3)
dy / dx = - 63(x² - 3x)^6 (2x - 3)
dy / dx = - 63 x^6 (x - 3)^6 (2x - 3)

Answer 2

dy/dx=-9*7(x^2-3x)^6 *(2x-3)

=-63(2x-3)(x^2-3x)^6