Question

Y= (2x-7)(6-x)³
Find dy/dx

Answer 1

$y = (2x - 7)( {6 - x})^{3} \\ \\ \frac{dy}{dx} = (2x - 7)3( {6 - x})^{2} ( - 1) + ( {6 - x})^{3} 2 \\ \\ \frac{dy}{dx} = 3( {6 - x})^{2} (7 - 2x) + 2( {6 - x})^{3}$