Identify the correct expression for the average rate of change of from to (with ).

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Identify the correct expression for the average rate of change of y=f(x)y=f(x) from x=ax=a to x=bx=b (with a≠ba\neq b). (a) f(a)−f(b)b−a\dfrac{f(a)-f(b)}{b-a} (b) lim⁡h→0f(a+h)−f(a)h\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a)}{h} (c) f(b)−f(a)b−a\dfrac{f(b)-f(a)}{b-a} (d) f(a)+f(b)b−a\dfrac{f(a)+f(b)}{b-a}

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