Finding the nth Derivative

The process of identifying the nth derivative is essentially about performing differentiation on a function n times. Each successive derivative gives us a deeper understanding of change rates, such as speed and acceleration. Often, the nth derivative is denoted as f^n(x) or D^n[f(x)] and involves the recurrent use of rules for differentiation.

The problems about Finding the nth Derivative

Topic	Problem	Solution
None	Find the second derivative of the function. 6) $s…	Given the function $s = \frac{t^{8} + 9 t + 8}{t^{2}}$ , we are asked to find the second derivative.
None	Find $y^{''}$ if $y = 4 \sec x$	We are given the function $y = 4 \sec x$ . We need to find the second derivative of this function.