Analysis of Sin and Cos Functions for Increasing/Decreasing Intervals
Consider the function \(f(x) = \sin(x) + \cos(x)\). You are required to: (a) Differentiate \(f(x) = \sin(x) + \cos(x)\) with respect to \(x\), showing the derivatives of \(\sin(x)\) and \(\cos(x)\). (b) Using your Graphing Display Calculator (GDC), determine the critical points of \(f(x)\) over the interval \([0, 2\pi]\). (c) Based on the critical points found […]