2008th Derivative of Trig
Source: HMMT 2008 Calculus Problem 5
March 2, 2008
calculusderivativetrigonometrycalculus computations
Problem Statement
(4) Let f(x) \equal{} \sin^6\left(\frac {x}{4}\right) \plus{} \cos^6\left(\frac {x}{4}\right) for all real numbers . Determine (i.e., differentiated times and then evaluated at x \equal{} 0).