Question

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

Answer 1

`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))`