jee-main 2021 Q66

jee-main · India · session1_26feb_shift2 Differentiation from First Principles

Let $f ( x )$ be a differentiable function at $x = a$ with $f ^ { \prime } ( a ) = 2$ and $f ( a ) = 4$. Then $\lim _ { x \rightarrow a } \frac { x f ( a ) - a f ( x ) } { x - a }$ equals:
(1) $a + 4$
(2) $2 a - 4$
(3) $4 - 2 a$
(4) $2 a + 4$

Let $f ( x )$ be a differentiable function at $x = a$ with $f ^ { \prime } ( a ) = 2$ and $f ( a ) = 4$. Then $\lim _ { x \rightarrow a } \frac { x f ( a ) - a f ( x ) } { x - a }$ equals:\\
(1) $a + 4$\\
(2) $2 a - 4$\\
(3) $4 - 2 a$\\
(4) $2 a + 4$

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