Let and for . The function . Determine the slope of the graph of at the point where…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let f(x)=x3f(x)=x^{3} and g(x)=ln⁡xg(x)=\ln x for x>0x>0. The function h(x)=f(x)g(x)h(x)=f(x)g(x). Determine the slope of the graph of hh at the point where x=1x=1. (a) 33 (b) 11 (c) 00 (d) 44

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