Question

Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)f(x) = x + 9 cos x, [0, 2]

Answer 1

Answer with explanation: We need to determine the points where the function changes sign, the provided function:

`f(x)=x+9\cos (x)`

The inflation points are at the following x values:

`\begin{gathered} x\Rightarrow(\pi)/(2)+2\pi n \\ x\Rightarrow(3\pi)/(2)+2\pi n \end{gathered}`

`\begin{gathered} n=1 \\ x=(5)/(2)\pi \\ y=f(x)=(5)/(2)\pi+9\cos ((5)/(2)\pi) \end{gathered}`