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Local Linearity and Linearization

AP Calculus AB· difficulty 3/5

x dx dy

Using differentials, dydy equals:

  • A

    dxf′(x)\dfrac{dx}{f'(x)}

  • B

    f′(x) dxf'(x)\,dx

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  • C

    f(x) dxf(x)\,dx

  • D

    dx+f(x)dx + f(x)

Explanation

By definition, dy=f′(x) dxdy = f'(x)\,dx.

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