The Chain Rule Through an Inverse
Difficulty: Medium · Topics: Calculus, Derivatives, Inverse Functions
Teskari funksiya orqali zanjir qoidasi
Differentiable functions f(x) and g(x) satisfy:
(i) lim x→ 1fracf(x)-9x^2-1=3
(ii) g≤ft((x+2)/(5) )=f^-1(3x)
Find g'(1) .
Differensiallanuvchi f(x) va g(x) funksiyalar quyidagilarni qanoatlantiradi:
(i) lim x→ 1fracf(x)-9x^2-1=3
(ii) g≤ft((x+2)/(5) )=f^-1(3x)
g'(1) ni toping.