HW$3$ P$3$

$0$ solutions submitted $($max: $4)$

Consider the following function $f(x)$ and its derivative $f^{\text{'}}(x)$ :

$f(x)=x*sin(x)$

$f^{\text{'}}(x)=sin(x)+x*cos(x)$

$(1)$ Create a vector $x$ in radius from $0-2$ with $0\mathrm{.}01$ interval.

$(2)$ Calculate $f(x)$ based on the given formula above, use the variable name $fx.$

$(3)$ Claculate $f^{\text{'}}(x)$ using the given formula above, use the variable name $fx\_$derivative.

$(4)$ Generate a plot of $f^{\text{'}}(x)$ vs$.x.(x$ is $x$ axis, $f^{\text{'}}(x)$ is $y$ axis$).$ Add labels, title to your graph.

$(5)$ On your plot, find out what is the smallest value for fx$\_$derivative, use a MATLAB built$-$in function to validate. Save the minimum value in a variable named min$\_$fx$\_$d$.$

Script $o.$

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