school
Acemy

Local Linearity and Linearization

AP Calculus AB· difficulty 3/5

The linearization of f(x)=ln⁡xf(x) = \ln x at a=1a = 1 is

  • A

    L(x)=xL(x) = x

  • B

    L(x)=ln⁡xL(x) = \ln x

  • C

    L(x)=x−1L(x) = x - 1

    check_circle
  • D

    L(x)=1+xL(x) = 1 + x

Explanation

f(1)=0f(1) = 0, f′(1)=1f'(1) = 1. L(x)=0+(x−1)=x−1L(x) = 0 + (x - 1) = x - 1.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode