Find ( d dx [ e^ x ( x ) ] ) for (x>0 ).

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Find

\displaystyle \frac{d}{dx}\bigl[ e^{x}\arcsin(\sqrt{x}) \bigr]

for

x>0

Related theory

Advanced Differentiation
Differentiation Rules
Derivatives of standard functions via chain rule

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