Higher Order Derivative

Question

Find the given higher-order derivative.

f ′(x) = x³ − x^4⁄5,   f ⁽³⁾(x)

Answer 1

f(x) = x⁴/4 - 5x^9/5/9 + c

f^'(x)= x³ - x^4/5

f^"(x)=3x^2- 4x^-1/5/5

f³(x)=6x + 4x^-6/5/25

=6x +4/(25x^6/5)

= 6x + 0.16/x^6/5