Let be continuous on and differentiable on with

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

q

be continuous on

[0,6]

and differentiable on

(0,6)

with

q(0)=q(3)=q(6)=7

. What is the least possible number of distinct points

c

(0,6)

for which

q'(c)=0