For a given function f(x), the higher-order derivative can usually be derived step by step, but for some simple functions y=f(x), the expression of its n-order derivative can be obtained by the following methods: 1, induction 2, the n-order derivative formula of simple elementary function 3, decomposition 4, and coefficient calculation of power series expansion.

This problem can be calculated by the simple N-order derivative formula of elementary function. If you want to use induction, you must use induction to verify this problem.