Science:Math Exam Resources/Courses/MATH102/December 2013/Question A 04/Statement

Shown in the figure below is a function and its tangent line at $x=x_0$.

The tangent line intersects the $x$ axis at the point $x=x_1$. The coordinate of the point $x_1$ is

(a) $x_1=x_0+\frac{f(x_0)}{f^{\prime }(x_0)}$

(b) $x_1=x_0-f^{\prime }(x_0)(x-x_0)$

(c) $x_1=x_0-\frac{f^{\prime }(x_1)}{f(x_1)}$

(d) $x_1=x_0+\frac{f^{\prime }(x_1)}{f(x_1)}$

(e) $x_1=x_0-\frac{f(x_0)}{f^{\prime }(x_0)}$