## Thomas' Calculus 13th Edition

First Derivative: w' = 21$z^{6}$ - 21$z^{2}$ + 42$z$ Second Derivative: w'' = 126$z^{5}$ - 42$z$ + 42
Using the Power Rule: First Derivative: w = 3$z^{7}$ - 7$z^{3}$ + 21$z^{2}$ w' = (7)(3)$z^{7-1}$ - (3)(7)$z^{3-1}$ + (2)(21)$z^{2-1}$ w' = 21$z^{6}$ - 21$z^{2}$ + 42$z$ Second Derivative: w' = 21$z^{6}$ - 21$z^{2}$ + 42$z$ w'' = (6)(21)$z^{6-1}$ - (2)(21)$z^{2-1}$ + (1)42$z^{1-1}$ w'' = 126$z^{5}$ - 42$z$ + 42