Question

nth derivative of x

Answer 1

For $n\ge2$, the nth derivative of $x$ is 0.

Answer 2

Explanation:
For the function $f(x)=x$:

• $f'(x)=1$.
• $f''(x)=0$ (and hence all higher derivatives are 0).

Thus, the nth derivative is:

$$f^{(n)}(x) = \begin{cases} x, & n=0 \\ 1, & n=1 \\ 0, & n\ge2 \end{cases}$$

Answer:
For $n\ge2$, the nth derivative of $x$ is 0.