Differentiate w.r.t. x the function

(3x² – 9x + 5)⁹

Let y = (3x² – 9x + 5)⁹

If u = v(w(x))

Then using chain rule

∴ Differentiating y w.r.t. x using chain rule

= 9(3x² – 9x + 5)⁸×(6x – 9)

=9(3x² – 9x + 5)⁸ × 3(2x – 3)

=27(3x² – 9x + 5)⁸ (2x – 3)

∴