Homework SourseWhich of the following functions is not a solution to this e
Which of the following functions is not a solution to this equation f\'\'\'\'(x) = f(x) [forth derivative of f(x) is f(x)]?
(A) 10 e^(x)
(B) 5 x^4+sin x
(C) 4 sin x+cos x
(D) e^x-sin x+5 cos x
(A) 10 e^(x)
(B) 5 x^4+sin x
(C) 4 sin x+cos x
(D) e^x-sin x+5 cos x
Solution
B is not the solution because after 4 derivatives x^4 vanishes. Only 4th derivatives of sin,cos,e^x are equal to itself![Which of the following functions is not a solution to this equation f\'\'\'\'(x) = f(x) [forth derivative of f(x) is f(x)]? (A) 10 e^(x) (B) 5 x^4+sin x (C) 4 s](/WebImages/42/which-of-the-following-functions-is-not-a-solution-to-this-e-1131353-1761604473-0.webp "Which of the following functions is not a solution to this equation f\'\'\'\'(x) = f(x) [forth derivative of f(x) is f(x)]? (A) 10 e^(x) (B) 5 x^4+sin x (C) 4 s")
