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Math calculus find the first derivative of the given function.

Math calculus find the first derivative of the given function.-example-1
User Gebuh
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Answer:

The function is given below as


\mleft(\sqrt{1-e^(-x)}\mright)\mleft(e^(-x)+1\mright)^2

By applying the product rule,


\quad \mleft(f\cdot g\mright)^(\prime)=f\: ^(\prime)\cdot g+f\cdot g
(d)/(dx)\mleft(\sqrt{1-e^(-x)}\mright)\mleft(e^(-x)+1\mright)^2+(d)/(dx)\mleft(\mleft(e^(-x)+1\mright)^2\mright)\sqrt{1-e^(-x)}

Math calculus find the first derivative of the given function.-example-1
User Curvegraph
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