If is a polynomial function such that for some real number

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

h(x)

is a polynomial function such that

h'(a)=0

for some real number

a

, what does this imply about the tangent to the graph of

h

x=a

? State your answer in one sentence.