Extremum, Increase and Decrease sections – Extremum to a polynomial function in a closed interval – Exercise 6872

Exercise

Determine the absolute extrema for the following function

f(x)=x3+3x272x+90f(x)=x^3+3x^2-72x+90

On the closed interval

[5,5][-5,5]

Final Answer

max[5,5]f(x)=f(5)=400\max_{[-5,5]}f(x)=f(-5)=400

min[5,5]f(x)=f(4)=86\min_{[-5,5]}f(x)=f(4)=-86

Solution

Coming soon…

Share with Friends

Leave a Reply