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

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

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

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

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derivative of

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

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

Simplify

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

\frac{d}{d y} (arctan (\frac{y}{x}))

12 (x - \frac{1}{x})^{4}

\int \frac{( 37 x + 5 )}{( 6 x + 1 ) ( x - 1 )} d x

\int (1 + 4 x^{2})^{\frac{1}{2}} d x

2 (ln (y)) y^{^{'}} - x^{3} y = 0

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