Science:Math Exam Resources/Courses/MATH110/December 2013/Question 06 (c)/Statement

Consider the function: $f(x)=\frac{e^{\left(x^3\right)}{e}^{\left(2x^2\right)}{e}^x}{e^3}.$

(c) How many solutions are there to the equation $f^{\prime }(x)=0$? Justify your answer.