Let . The tangent line to at is used to approximate . Indicate whether this linear…

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

Problem

Let f(x)=ln⁡xf(x)=\ln{x}. The tangent line to ff at x=1x=1 is used to approximate f(1.2)f(1.2). Indicate whether this linear approximation is an overestimate or an underestimate of ln⁡(1.2)\ln(1.2) and state the reason for your conclusion.

Related theory

Browse the problem library