For a differentiable function

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For a differentiable function ff, which expression represents the value of the tangent-line approximation L(x)L(x) of ff at x=ax = a? (a) f′(a)(x−a)f'(a)\bigl(x-a\bigr) (b) f(a)+f′(x)(x−a)f(a)+f'(x)\bigl(x-a\bigr) (c) f(a)+f′(a)(x−a)f(a)+f'(a)\bigl(x-a\bigr) (d) f(a)+f′′(a)(x−a)f(a)+f''(a)\bigl(x-a\bigr)

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