school
Acemy

Local Linearity and Linearization

AP Calculus AB· difficulty 2/5

The linearization of f(x)=x3f(x) = x^3 at a=1a = 1 is

  • A

    L(x)=3xL(x) = 3x

  • B

    L(x)=1L(x) = 1

  • C

    L(x)=x3L(x) = x^3

  • D

    L(x)=1+3(x−1)L(x) = 1 + 3(x - 1)

    check_circle

Explanation

f(1)=1f(1) = 1, f′(1)=3f'(1) = 3. L(x)=1+3(x−1)L(x) = 1 + 3(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