Derivative of

Question

x(24-2x)^2?

Answer 1

The Function is x(24 - 2x)²

Let y = x(24 - 2x)²

Differentiate the function with respect to y.

y' = x * 2(24-2x) * -2 + (24 - 2x)² * 1

y' = -4x (24-2x) + (576 + 4x² - 96x)

y' = -96x + 8x² + 576 + 4x² - 96x

y' = 12x² - 192x + 576.

Therefore the Derivative of the x(24 - 2x)² is 12x² - 192x + 576.