Consider the following function.

$f(x)=(sin(x){)}^{sin(x)}$

$($a$)$ Graph the function.

$($b$)$ Explain the shape of the graph by computing the limit as $x{0}^{+}.$

$\underset{x{0}^{+}}{lim}f(x)=$

$$

$($c$)$ Use calculus to find the exact maximum and minimum values of $f(x).($If an answer does not exist, enter DNE.$)$

maximum $$

minimum $$

$($d$)$ Use a computer algebra system to compute $f".$ Then use a graph of $f"$ to estimate the $x-$coordinates of the inflection points. $($Round your answer to two decimal places.$)$

smaller value $,x=$

larger value $x=$