Question

\text { 3. Let } f(x)=\frac{e^{x}}{10}(\cos x+\sin x) \text { on } 0 \leq x \leq 2 \pi (a) Find the r and y intercepts of the function. (b) Find

the intervals where f(x) is increasing and decreasing using f'(æ). First find the critical numbers, then create a sign table. Then determine the local max and min values. (c) Find the intervals wher f(x) is concave up and concave down using either f'(x) or f"(x). (d) Use the information from parts (a)-(c) to create an accurate graph of the function (attach a sheet of graph paper). Check your work using Desmos.

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