Question

Let y=x^(2/3)(6-x)^(1/3). Find dy/dx and d^2(y)/dx^2

Answer 1

\[\huge y = x^{\frac{2}{3}}(6-x)^{\frac{1}{3}}\]is it yours?

Answer 2

yes!

Answer 3

so, dy/dx is just take derivative of this. and d^2y/ dx^2 is second derivative. that's it. Use product rule.