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P.o.t.W. #3

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  • P.o.t.W. #3

Problem of the Week #3

■  No GDC  ■

total marks: 12

Consider the graph of \(g\left( x \right) = x\ln x\) shown at right.

(a)   Write down the domain of g.      [1 mark]

(b)   Determine the range of g.          [4 marks]

(c)   Find the equation of the tangent to the graph of \(g\) that passes through the point \(\left( {0, - \,c} \right)\), where \(c > 0\), and express it in terms of \(c\).        [7 marks]

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downloadable file: P.o.t.W. #3