italy-esame-di-stato 2025 Q5

italy-esame-di-stato · Other · esame-di-stato__matematica Exponential Equations & Modelling Geometric Properties of Exponential/Logarithmic Curves
5. Determine the value of the real parameter $k$ so that the two curves $y = e ^ { x }$, $y = 6 - k e ^ { - x }$ are tangent to each other, finding the coordinates of the point of tangency.
5. Determine the value of the real parameter $k$ so that the two curves $y = e ^ { x }$, $y = 6 - k e ^ { - x }$ are tangent to each other, finding the coordinates of the point of tangency.