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Apply the formula: $\frac{a}{x^b}$$=ax^{-b}$, where $a=e^x$ and $b=\frac{1}{2}$
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$\frac{d}{dx}\left(e^x\cdot x^{- \frac{1}{2}}\right)$
Learn how to solve problems step by step online. Find the derivative d/dx((e^x)/(x^(1/2))). Apply the formula: \frac{a}{x^b}=ax^{-b}, where a=e^x and b=\frac{1}{2}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=1, b=2, c=-1, a/b=\frac{1}{2} and ca/b=- \frac{1}{2}. Apply the formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), where d/dx=\frac{d}{dx}, ab=e^x\cdot x^{-\frac{1}{2}}, a=e^x, b=x^{-\frac{1}{2}} and d/dx?ab=\frac{d}{dx}\left(e^x\cdot x^{-\frac{1}{2}}\right). Apply the formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}.
