___ \/ x e
exp(sqrt(x))
Let .
The derivative of is itself.
Then, apply the chain rule. Multiply by :
Apply the power rule: goes to
The result of the chain rule is:
The answer is:
___ \/ x e ------- ___ 2*\/ x
___ /1 1 \ \/ x |- - ----|*e |x 3/2| \ x / ----------------- 4
___ / 1 3 3 \ \/ x |---- - -- + ----|*e | 3/2 2 5/2| \x x x / ------------------------- 8