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Find derivative?

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

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

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Jun 17, 2018

Answer:

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

Explanation:

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

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

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