Let be a linear approximation of near

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

Problem

Let

P(x)=k+2x

be a linear approximation of

f(x)=e^{x}

near

x=0

. Determine the value of

k

that guarantees

P

matches

f

x=0

. (a)

0

(b)

1

(c)

2

(d)

e-2