Understanding Functions and Their Derivatives Graphically
A function appears in the SageMath plot below. Its tangent line at the point \(x = c\) is plotted in red. As you move the slider, the SageMath plot displays the coordinates of the point \((c, f(c))\) and the equation of the tangent line at \(x = c\). Use the SageMath plot to answer the questions in the exercise.
2. For this exercise, use the SageMath plot below. Set the function — either F1, F2, F3, or F4 — to be the one indicated in your lab report.
(a) Compute the derivatives indicated in your lab report.
(b) Approximate the three \( x \)-values where \( f'(x) = 0 \).