Question: Consider the function f(x)=2cos(x)x on the interval 0,.What are the x and y intercepts?What are the VAs and HAs?3, Find the first derivative.4. Find the

Consider the function f(x)=2cos(x)x on the interval 0,.What are the x and y intercepts?What are the VAs and HAs?3, Find the first derivative.4. Find the intervals where f is increasing and decreasing.5. Where are the minima and maxima? Be sure to express them as ordered pairs (x,y)(Hint, there are 4 of them).6. Find the second derivative.7. Find the intervals where f is concave up and concave down.8. Where are the inflection points? Express them as ordered pairs as well.9. Graph the function by hand, using all of the above data. Label your picture.

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