iran-konkur 2013 Q119

iran-konkur · Other · konkur-riazi_1392 Tangents, normals and gradients Find tangent line equation at a given point
119- If $f(x) = xe^x$; $x > 0$, then the tangent line to the graph of $f^{-1}$ at points located along $e$, intersects the $y$-axis at which value?
(1) $\dfrac{1}{4}$ (2) $\dfrac{1}{3}$ (3) $\dfrac{1}{2}$ (4) $\dfrac{1}{e}$
119- If $f(x) = xe^x$; $x > 0$, then the tangent line to the graph of $f^{-1}$ at points located along $e$, intersects the $y$-axis at which value?

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

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