iran-konkur 2013 Q112

iran-konkur · Other · konkur-riazi_1392 3 marks Differentiation from First Principles
112- If $f(x) = (x^2 - x - 2)\sqrt[3]{x^2 - 7x}$, then what is $\displaystyle\lim_{h \to 0} \dfrac{f(-1+h) - f(-1)}{h}$?
(1) $-6$ (2) $-3$ (3) $-\dfrac{3}{2}$ (4) $-\dfrac{3}{4}$
112- If $f(x) = (x^2 - x - 2)\sqrt[3]{x^2 - 7x}$, then what is $\displaystyle\lim_{h \to 0} \dfrac{f(-1+h) - f(-1)}{h}$?

(1) $-6$ \hfill (2) $-3$ \hfill (3) $-\dfrac{3}{2}$ \hfill (4) $-\dfrac{3}{4}$