If (below), then f'(x) = ? (A) 3 (B) 1 (C) -1 (D) -3 (E) -5 f(x)=(-x^4+x^2+1)/xf(x)=−x4+x2+1x Calculus Derivatives Limit Definition of Derivative 1 Answer Jim H Nov 1, 2016 None of these. f'(x) = -3x^2+1-1/x^2 Explanation: f(x) = (-x^4+x^2+1)/x = -x^3+x+1/x f'(x) = -3x^2+1-1/x^2 Answer link Related questions What is the limit definition of the derivative of the function y=f(x) ? Ho do I use the limit definition of derivative to find f'(x) for f(x)=3x^2+x ? How do I use the limit definition of derivative to find f'(x) for f(x)=sqrt(x+3) ? How do I use the limit definition of derivative to find f'(x) for f(x)=1/(1-x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=x^3-2 ? How do I use the limit definition of derivative to find f'(x) for f(x)=1/sqrt(x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=5x-9x^2 ? How do I use the limit definition of derivative to find f'(x) for f(x)=sqrt(2+6x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=mx+b ? How do I use the limit definition of derivative to find f'(x) for f(x)=c ? See all questions in Limit Definition of Derivative Impact of this question 1788 views around the world You can reuse this answer Creative Commons License