Derivative of a Self-Composition
Difficulty: Easy · Topics: Calculus, Derivatives, Chain Rule
O‘z-o‘zi bilan kompozitsiyaning hosilasi
Let f(x) be a differentiable function such that f(1)=2 and f'(x)=f(x) for all x∈mathbbR. If h(x)=f(f(x)), find h'(1).
f(x) differensiallanuvchi funksiya bo‘lib, f(1)=2 va barcha x∈mathbbR uchun f'(x)=f(x). Agar h(x)=f(f(x)) bo‘lsa, h'(1) ni toping.