Differentiate with respect to x: (x^2+5)^3

There are two methods for solving this question. Firstly, the inspection method, and then the chain rule method.Using the inspection method, we differentiate the outer function first. Multiply the function by 3 and reduce the power to 2; 3(x^2+5)^2. Secondly, we differentiate the inner function (2x) and then multiply the function by this differential, giving us the final result: 3*2x(x^2+5)^2, which can be simplified to 6x(x^2+5)^2.