Give the specific higher - order derivative of the given functions:

Question

𝑓(𝑥) = 2𝑥^7 − 𝑥^5 + 5𝑥^3 − 8𝑥 + 4; 𝒇^(5) (𝒙)

Answer 1

f(x) = 2x^7 -x^5 +5x^3 - 8x + 4

find the 5th derivative

f'^v(x) = 7(6)5(4)(2)x^3 = 1680x^3

just work with 2x^7-x^5, ignore the other 3 terms as they drop out by the 5th derivative

f'(x)=14x^6 -5x^4 +

f'(x) = 84x^5 -20x^3 +

f"'(x) = 420x^4 -60x^2 +

f'^v(x) = 1680x^3 -120x

f^v(x) = 5040x^2 - 120