Local Linearity and Linearization

AP Calculus AB· difficulty 2/5

The linear approximation of ff at x=ax = a is

  • A

    L(x)=f(x)f(a)L(x) = f(x) - f(a)

  • B

    L(x)=f(a)+f(a)(xa)L(x) = f(a) + f'(a)(x - a)

    check_circle
  • C

    L(x)=f(a)xL(x) = f'(a)x

  • D

    L(x)=f(a)L(x) = f(a)

Explanation

The tangent-line approximation: L(x)=f(a)+f(a)(xa)L(x) = f(a) + f'(a)(x - a).

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

Related questions