Concavity from second derivative (f''>0 → concave up (convex); f''<0 → concave down)

jee-mainjee-advanced

f''>0 → concave up (convex); f''<0 → concave down

What each symbol means

SymbolWhat it stands for
f''(x)Second derivative on interval I

When to use this

f twice differentiable on I. JEE: concave up = cup opens upward.