The function is differentiable for

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The function f(x)=ln⁡xf(x)=\ln x is differentiable for x>0x>0. You want to approximate f(1.92)f(1.92) using a tangent line. Which base point gives the more accurate linear approximation, x=2x=2 or x=1.8x=1.8? State the chosen point and one justification based on the information provided.

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