A curve has the equation y = e x ln x. a. Sketch the curves y
Question:
A curve has the equation y = ex − ln x.
a. Sketch the curves y = ex and y = ln x on the same axes and explain why this implies that ex − ln x is always positive.
b. Show that the curve y = ex − ln x passes through the point (1, e).
c. Find the equations of the tangent and normal at this point.
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Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
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