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A Logarithmic Derivative of a Long Product

Difficulty: Medium · Topics: Calculus, Derivatives, Logarithmic Differentiation

Uzun ko‘paytmaning logarifmik hosilasi

f(x)=frac(1+e^2x)(1+e^4x)(1+e^6x)·s(1+e^22x)(1+e^x)(1+e^3x)

Find f'(0), written as a power of 2.

f(x)=frac(1+e^2x)(1+e^4x)(1+e^6x)·s(1+e^22x)(1+e^x)(1+e^3x)

f'(0) ni 2 ning darajasi ko‘rinishida toping.