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method of logarithmic differentiation

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Let f(x) = (x^(3x) (4x-1)^8)/sqrt(8x^(2)+10)

If we use the method of logarithmic differentiation to find f '(x), we obtain f '(x) in the form

f ' (x)=[(x^(3x) (4x-1)^8)/sqrt (8x^(2)+10)] [(A(x) + (B(x)/4x-1) + (C(x)/8x^(2)+10)]

where A(x), B(x) and C(x) are functions of x. Find them.

A(x)=______
B(x)=______
C(x)=______

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This solution clearly assesses the method of logarithmic differentiation.

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