Find the 5th and 6th derivative

Question

Find the 5th and 6th derivative

y= x⁴ / 2 - 2/3 x² -2x

Answer 1

y = (1/2)x⁴ - (2/3)x² - 2x

Each time you differentiate the terms, the powers of x decrease by one until the terms become constant after which the derivatives are all 0.

So, y""' = y""" = 0