What is the derivative of e^{x-2}-(sqrt(x))/2 ?

The derivative of e^{x-2}-(sqrt(x))/2 is e^{x-2}-1/(4sqrt(x))

What is the first derivative of e^{x-2}-(sqrt(x))/2 ?

The first derivative of e^{x-2}-(sqrt(x))/2 is e^{x-2}-1/(4sqrt(x))

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derivative of

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

e^{x - 2} - \frac{1}{4 x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{4 x}

= e^{x - 2} - \frac{1}{4 x}

What is the derivative of e^{x-2}-(sqrt(x))/2 ?
The derivative of e^{x-2}-(sqrt(x))/2 is e^{x-2}-1/(4sqrt(x))
What is the first derivative of e^{x-2}-(sqrt(x))/2 ?
The first derivative of e^{x-2}-(sqrt(x))/2 is e^{x-2}-1/(4sqrt(x))