iran-konkur 2019 Q115

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Chain Rule Chain Rule with Composition of Explicit Functions
115. If $\displaystyle\lim_{x \to 2} \dfrac{f(x) - f(2)}{x - 2} = \dfrac{4}{3}$ and $g(x) = x + \sqrt{x}$, what is $(f \circ g)'(1)$?
(1) $\dfrac{2}{3}$ (2) $\dfrac{3}{2}$ (3) $2$ (4) $3$
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\textbf{115.} If $\displaystyle\lim_{x \to 2} \dfrac{f(x) - f(2)}{x - 2} = \dfrac{4}{3}$ and $g(x) = x + \sqrt{x}$, what is $(f \circ g)'(1)$?

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(1) $\dfrac{2}{3}$ \qquad
(2) $\dfrac{3}{2}$ \qquad
(3) $2$ \qquad
(4) $3$



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