Local Linearity and Linearization

AP Calculus AB· difficulty 2/5

The differential dydy for y=x3y = x^3 at x=2x = 2 is

  • A

    12dx12\,dx

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  • B

    8dx8\,dx

  • C

    3dx3\,dx

  • D

    6dx6\,dx

Explanation

dy=ydx=3x2dx=12dxdy = y'\,dx = 3x^2\,dx = 12\,dx at x=2x = 2.

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