Question

Исследовать на экстремум:
f(x)=50x²-x⁴+13

Answer 1

f`(x)=100x-4x³=4x(25-x²)=4x(5-x)(5+x)=0
x=0  x=5  x=-5
           +                   _                    +                       _
---------------(-5)---------------(0)---------------(5)--------------------
возр           max  убыв     min возр        max  убыв