What is ((d^{1/2}*e^x))/((d*x^{1/2))} ?

The solution to ((d^{1/2}*e^x))/((d*x^{1/2))} is (e^x)/(d^{1/2)x^{1/2}}

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simplify ((d^{1/2}e^x))/((dx^{1/2))}

simplify

\frac{( d ^{\frac{1}{2}} \cdot e ^{x} )}{( d \cdot x ^{\frac{1}{2}} )}

\frac{e ^{x}}{d ^{\frac{1}{2}} x ^{\frac{1}{2}}}

Solution steps

\frac{d ^{\frac{1}{2}} e ^{x}}{d x ^{\frac{1}{2}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{d ^{\frac{1}{2}}}{d} = \frac{1}{d ^{1 - \frac{1}{2}}}

= \frac{e ^{x}}{d ^{- \frac{1}{2} + 1} x ^{\frac{1}{2}}}

Subtract the numbers:

1 - \frac{1}{2} = \frac{1}{2}

= \frac{e ^{x}}{d ^{\frac{1}{2}} x ^{\frac{1}{2}}}

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What is ((d^{1/2}*e^x))/((d*x^{1/2))} ?
The solution to ((d^{1/2}*e^x))/((d*x^{1/2))} is (e^x)/(d^{1/2)x^{1/2}}