iran-konkur 2016 Q119

iran-konkur · Other · konkur-riazi_1395_specialized Tangents, normals and gradients Find tangent line equation at a given point
119- The line $y = 3x - 2$ at the point $x = 2$ is tangent to the curve $y = f(x)$. What is $\displaystyle\lim_{x \to 2} \dfrac{f^2(x) - 4f(x)}{x - 2}$?
(1) $2$ (2) $6$ (3) $12$ (4) $15$
\textbf{119-} The line $y = 3x - 2$ at the point $x = 2$ is tangent to the curve $y = f(x)$. What is $\displaystyle\lim_{x \to 2} \dfrac{f^2(x) - 4f(x)}{x - 2}$?

\hspace*{2cm} (1) $2$ \hspace{2cm} (2) $6$ \hspace{2cm} (3) $12$ \hspace{2cm} (4) $15$