What is the derivative of y=e^{x/2} ?

The derivative of y=e^{x/2} is e^{x/2} 1/2

What is the first derivative of y=e^{x/2} ?

The first derivative of y=e^{x/2} is e^{x/2} 1/2

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derivative of

y = e^{\frac{x}{2}}

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

Solution steps

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

Apply the chain rule:

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

= e^{\frac{x}{2}} \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

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

\int 2 x y e^{x + y} d x

y^{^{'}} = - y t + 0.1 y^{^{'}} t + 4

\int \frac{( 3 x ^{2} + 4 )}{( x ^{2} - 2 x + 2 ) ^{2}} d x

\int 8 x (x^{7} - \frac{1}{8}) d x

What is the derivative of y=e^{x/2} ?
The derivative of y=e^{x/2} is e^{x/2} 1/2
What is the first derivative of y=e^{x/2} ?
The first derivative of y=e^{x/2} is e^{x/2} 1/2