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What is the derivative of #sqrt(e^(2x) +e^(-2x))#?

1 Answer

Feb 18, 2016

#1/2(e^(2x)+e^(-2x))^(-1/2)*(2e^(2x)-2e^(-2x))#

Explanation:

We may apply the power rule to obtain :

#d/dxsqrt(e^(2x)+e^(-2x))=d/dx(e^(2x)+e^(-2x))^(1/2)#

#=1/2(e^(2x)+e^(-2x))^(-1/2)*(2e^(2x)-2e^(-2x))#

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