What is the derivative of #xe^x#?
2 Answers
Feb 6, 2016
Explanation:
Feb 6, 2016
#e^x (x+1)#
Explanation:
differentiate using
#color(blue)(" product rule ") #
# d/dx(xe^x) = x d/dx(e^x) + e^x d/dx (x) # [now
#d/dx(e^x) = e^x # ]
#rArr d/dx(xe^x) = xe^x + e^x = e^x( x + 1 ) #