Porisma

A hint to get started

Sketch products and quotients involving exponentials

Sketch the graph of the following curves, indicating clearly the coordinates of any intersections with the axes, turning points and the equations of any asymptotes:

(a) y=ex(x−1)y=e^x(x-1).

(b) y=ex−1e2x+1y=\dfrac{e^x-1}{e^{2x}+1}.

CJC · Lecture · Example 8

For the quotient at +∞, divide throughout by the denominator’s largest exponential term.

Read the worked solution