Asked by Sasha
prove that the function
f(x) = (x^101)+(x^51)+x+1
has neither a local maximum nor a local minimum
f(x) = (x^101)+(x^51)+x+1
has neither a local maximum nor a local minimum
Answers
Answered by
Calculus
Find the derivative of f(x) which gives you f'(x). Set f'(x)=0
this will give you the critical values. and you use those to find the max and min.
F'(x)= 101x^100 + 51x^50 + 1
0= 101x^100 + 51x^50 +1
the easiest way to find the critical numbers would be to use the quadratic formula
this will give you the critical values. and you use those to find the max and min.
F'(x)= 101x^100 + 51x^50 + 1
0= 101x^100 + 51x^50 +1
the easiest way to find the critical numbers would be to use the quadratic formula
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