Question

Find the derivative of y= (3x-7) ^12

Answer 1

y = (3x-7)¹²

By chain rule,

$\frac{dy}{dx} = \\ \\ \frac{d {(3x - 7)}^{12} }{d(3x - 7)} \times \frac{d(3x - 7)}{dx} \\ \\ = 12. {(3x - 7)}^{(12 - 1)} \times 3 \\ \\ = 36 {(3x - 7)}^{11}$