If is odd, which of the following is the left-hand derivative of at…

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

Problem

If ff is odd, which of the following is the left-hand derivative of ff at x=−ax=-a? (1) lim⁡h→0−f(a−h)−f(a)−h\lim_{h\to0^-}\frac{f(a-h)-f(a)}{-h} (2) lim⁡h→0−f(h−a)−f(a)h\lim_{h\to0^-}\frac{f(h-a)-f(a)}{h} (3) lim⁡h→0+f(a)+f(a−h)−h\lim_{h\to0^+}\frac{f(a)+f(a-h)}{-h} (4) lim⁡h→0−f(a)−f(a−h)−h\lim_{h\to0^-}\frac{f(a)-f(a-h)}{-h}

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