Description
1) f(x)= 2x+(4/x)
find the open intervals on which f is increasing and decreasing, then determine the relative max and min occurring at x
2) f(x)=(x+5)(x-1)^2
Find the critical value(s)
use the second derivative test to find s-coordinates of all local maximum and minimum
3) f(x)= (x^2-6)e^x
find inflection points
find the intervals on which the given function is concave up or down.
thank you
Explanation & Answer
Thank you for the opportunity to help you with your question!
1) let a=sqrt(2)
increasing (a,inf),(-inf,-a)
Decreasing (-a,0),(0,a)
Relative max= -a, min =a
2)
Critical points 1,-3.
1= min, -3= max
3)
Point of inflection 2(a-1)
Concave (-inf, 2(a-1)), convex(2(a-1), inf)
Please let me know if you need any clarification. I'm always happy to answer your questions.Review
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