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

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Answer 1 · 2016-02-18T10:26:28

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

We may apply the power rule to obtain :

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

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

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