Derivative of an Intersection Point
Difficulty: Medium · Topics: Calculus, Derivatives, Inverse Functions
Kesishish nuqtasining hosilasi
Let f(t) be the x-coordinate of the intersection point of the curve y=xln x and the line y=-x+t. If f(k)=e^2, find the value of f'(k).
f(t) — y=xln x egri chiziq va y=-x+t to‘g‘ri chiziq kesishish nuqtasining x koordinatasi bo‘lsin. Agar f(k)=e^2 bo‘lsa, f'(k) ning qiymatini toping.