Let . (a) Calculate . (b) Hence determine the slope of the curve at the point where…

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

Problem

Let g(x)=(e2x)(ln⁡x+3),  x>0g(x)=(e^{2x})(\ln x+3),\;x>0. (a) Calculate g′(x)g'(x). (b) Hence determine the slope of the curve y=g(x)y=g(x) at the point where x=1x=1.

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