Let be twice-differentiable on an open interval containing

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f

be twice-differentiable on an open interval containing

a

, and suppose

f''(x)>0

for all

x

in that interval. When the tangent line at

(a, f(a))

is used to approximate

f(a+h)

for a small positive

h

, is the approximation an underestimate or an overestimate of the true value? Answer in one sentence.