Investigate the given functions for monotony and extrema #y=2x^2+3x+1#?
1 Answer
Jun 24, 2018
Consider derivatives
Explanation:
Consider the first derivative:
Set this equal to zero to find extrema and points of inflection:
Consider the second derivative at this point:
It is constant for all
"Monotony" refers to a lack of turning points - a monotonic function is one that either increases or decreases uniformly through its range. This function divides into monotonically decreasing and monotonically increasing pieces, one of each, which change over at the single turning point.