Which of the following represents the equation of the tangent line to the curve at…

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

Problem

Which of the following represents the equation of the tangent line to the curve y=f(x)y=f(x) at the point (a,f(a))(a, f(a))? (a) y−f(a)=f(a)(x−a)y-f(a)=f(a)\bigl(x-a\bigr) (b) y−f(a)=f′(a)(x−a)y-f(a)=f'(a)\bigl(x-a\bigr) (c) y=f′(a)(x−a)y=f'(a)\bigl(x-a\bigr) (d) y−f(a)=f′(x)(x−a)y-f(a)=f'(x)\bigl(x-a\bigr)

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