Calculus
Concave up on (1−66,1+66)\(\left\)(1-\(\frac{\sqrt6}{6}\),1+\(\frac{\sqrt6}{6}\)\(\right\))
Concave down on (−∞,1−66)∪(1+66,∞)\(\left\)(-\(\infty\),1-\(\frac{\sqrt6}{6}\)\(\right\))\(\cup\[\left\)(1+\(\frac{\sqrt6}{6}\),\(\infty\]\right\))
Inflection points at x=1−66,1+66x=1-\(\frac{\sqrt6}{6}\),1+\(\frac{\sqrt6}{6}\)
Concave up on (−∞,1−66)∪(1+66,∞)\(\left\)(-\(\infty\),1-\(\frac{\sqrt6}{6}\)\(\right\))\(\cup\[\left\)(1+\(\frac{\sqrt6}{6}\),\(\infty\]\right\))
Concave down on (1−66,1+66)\(\left\)(1-\(\frac{\sqrt6}{6}\),1+\(\frac{\sqrt6}{6}\)\(\right\))
Concave up on (−∞,1−66)\(\left\)(-\(\infty\),1-\(\frac{\sqrt6}{6}\)\(\right\))
Concave down on (1+66,∞)\(\left\)(1+\(\frac{\sqrt6}{6}\),\(\infty\)\(\right\))
Inflection points at x=1+66x=1+\(\frac{\sqrt6}{6}\)
Concave up on (1+66,∞)\(\left\)(1+\(\frac{\sqrt6}{6}\),\(\infty\)\(\right\))
Concave down on (−∞,1−66)\(\left\)(-\(\infty\),1-\(\frac{\sqrt6}{6}\)\(\right\))
Inflection points at x=1−66x=1-\(\frac{\sqrt6}{6}\)