For the function

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

Problem

For the function

h

, the derivative

h'(x)

is negative for

x<0

, does not exist at

x=0

because of a vertical tangent, and is positive for

x>0

. What type of relative extremum, if any, does

h

have at

x=0