What is the derivative of e^x-x^e ?

The derivative of e^x-x^e is e^x-ex^{e-1}

What is the first derivative of e^x-x^e ?

The first derivative of e^x-x^e is e^x-ex^{e-1}

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derivative of

e^{x} - x^{e}

e^{x} - e x^{e - 1}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (x^{e}) = e x^{e - 1}

= e^{x} - e x^{e - 1}

\frac{s}{( s + 1 ) ( s ^{2} + 1 )}

\int (\frac{3 w ^{2}}{2} - \frac{2}{3 w ^{2}}) d w

\int x^{2} 2 + 9 x^{2} d x

y^{^{''}} - 7 y^{^{'}} + 12 y = 6 e t

\int \frac{x}{( sin ( x ) ) ^{2}} d x

What is the derivative of e^x-x^e ?
The derivative of e^x-x^e is e^x-ex^{e-1}
What is the first derivative of e^x-x^e ?
The first derivative of e^x-x^e is e^x-ex^{e-1}