Science:Math Exam Resources/Courses/MATH100/December 2013/Question 08 (b)/Statement

Full-Solution Problem. Justify your answer and show your work. Full simplification of numerical answers is required unless explicitly stated otherwise.

Let $\displaystyle y=f(x)=63x^{2/7}-14x^{9/7}$. Determine the intervals where $\displaystyle f(x)$ is increasing, and the intervals where $\displaystyle f(x)$ is decreasing. (The results from part (a) may be useful.)