Calculate an approximate value of by using the tangent line to at

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Calculate an approximate value of

\sqrt{4.1}

by using the tangent line to

f(x)=\sqrt{x}

x=4

. Which of the following is closest to

\sqrt{4.1}

? (a)

2.050

(b)

2.0125

(c)

2.025

(d)

2.0025