If f(x) = cases x-1 2x^2-7x+5 , & for x 1 - 1 3 , & for x = 1 cases then

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If f(x)={x−12x2−7x+5,for x≠1−13,for x=1f(x) = \begin{cases} \frac{x-1}{2x^2-7x+5}, & \text{for } x \neq 1 \\ -\frac{1}{3}, & \text{for } x = 1 \end{cases} then f′(1)=f'(1) = (a) −1/9-1/9 (b) −2/9-2/9 (c) −1/3-1/3 (d) 1/31/3

Related theory

Browse the problem library