How do you find the derivative of $u = e^{e^{x}}$ $u=e^(e^x)$ ?

Question

1705 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-10T19:04:15

Apply the chain rule.

The chain rule states that

$"d"/("d"x)"f"("g"(x))="f"'("g"(x))*"g"'(x)$ .

Let $"f"(x) = e^(x)$ , $"g"(x)=e^x$ .

Then,

$"d"/("d"x) e^(e^(x))=e^x*e^(e^(x))$ .

How do you find the derivative of u=e^(e^x)u=eexu=e^(e^x)?