Find derivative?

Question

#f(x)= e^(-4x)sqrt(x+1) ,x>=-1#

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Answer 1 · 2018-06-17T16:04:01

#f'(x)=-4e^(-4x)sqrt(x+1)+e^(-4x)/(2*sqrt(x+1))#

We have
#(e^(-4x))'=-4e^(-4x)#
and

#(sqrt(x+1))'=1/(2sqrt(x+1))#