Question

How do you Differentiate square root of e to the power of square root of x?

Answer 1

Rewrite it and use the chain rule.

Explanation:

`sqrt(e^sqrtx) = e^(1/2sqrtx)`

Now use `d/dx(e^u) = e^u (du)/dx` along with `d/dx(1/2sqrtx) = 1/(4sqrtx)` to get

`d/dx(e^(1/2sqrtx)) = e^(1/2sqrtx) 1/(4sqrtx)`

????`= sqrte^sqrtx/(4sqrtx)`