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What is the derivative of # y=e^((2x)/3)#?

1 Answer

Aug 20, 2015

#y' = 2/3 e^((2x)/3)#

Explanation:

#d/dx(e^u) = e^u (du)/dx# #" "" "# (Chain rule)

In this case # u = (2x)/3# so #(du)/dx = 2/3#

#d/dx(e^((2x)/3)) = e^((2x)/3) * 2/3 = 2/3 e^((2x)/3)#

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