Let . When the tangent line at is used to approximate , is the resulting estimate an…

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

Problem

Let

f(x)=\sqrt{x}

. When the tangent line at

x=4

is used to approximate

f(4.1)

, is the resulting estimate an underestimate or an overestimate of the actual value?