Science:Math Exam Resources/Courses/MATH100/December 2011/Question 05 (e)/Statement

Full-Solution Problems. In questions 2-8, justify your answers and show all your work. Simplification of answers is not required unless explicitly stated.

Let

$y=f(x)=6x^{1/5}+x^{6/5}$

Sketch the graph of $y=f(x)$ and indicate the inflection points on your graph. Please also indicate the point(s) on your graph at which the graph of $y=f(x)$ has a vertical tangent line.