A Cubic Composed with eˣ
Difficulty: Medium · Topics: Calculus, Derivatives, Inverse Functions
eˣ bilan kompozitsiyalangan kub funksiya
For a cubic function f(x) with leading coefficient 1, let
g(x)=f≤ft(e^x )+e^x.
The tangent to y=g(x) at the point (0,g(0)) is the x-axis, and g(x) has an inverse h(x). Find h'(8).
Bosh koeffitsiyenti 1 ga teng f(x) kub funksiya uchun
g(x)=f≤ft(e^x )+e^x
bo‘lsin. y=g(x) ga (0,g(0)) nuqtada o‘tkazilgan urinma — x o‘qi, g(x) esa h(x) teskari funksiyaga ega. h'(8) ni toping.