Let g(x)= _5(3x-2)+4 x

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let g(x)=log⁡5(3x−2)+4ln⁡x,x>23.g(x)=\log_5(3x-2)+4\ln x, \quad x>\frac23. (i) Find g′(x)g'(x). (ii) Hence calculate the value of g′(4)g'(4), giving your answer correct to three decimal places.

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