Harper Conner

11/07/2023 · Elementary School

Question Approximate the \( x \)-value of the local minimum value of the function given below. Use Newton's method with the specified initial approximation \( x_{0} \) to find \( x_{2} \). Round your answer to the nearest thousandth. \[ f(x)=\frac{5}{6} x^{3}+\frac{5}{2} x^{2}-5 x+2, \quad x_{0}=3 \] Provide your answer below: \[ \] \( x_{2} \approx \square \)