What is the derivative of e^{xx}-e^x ?

The derivative of e^{xx}-e^x is e^{x^2}*2x-e^x

What is the first derivative of e^{xx}-e^x ?

The first derivative of e^{xx}-e^x is e^{x^2}*2x-e^x

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

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

Solution steps

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

Simplify

e^{xx} - e^{x} : e^{x^{2}} - e^{x}

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{x^{2}} \cdot 2 x - e^{x}

f (x) = \frac{1}{x ^{6}} + \frac{1}{x ^{8}}

\int_{- 1}^{6} (x + 3)^{3} d x

sin (x), cos (x), [\frac{π}{4}, \frac{5 π}{4}]

x^{2} y^{^{''}} - 3 x y^{^{'}} + 13 y = 0

\int arccot (9 y) d y

What is the derivative of e^{xx}-e^x ?
The derivative of e^{xx}-e^x is e^{x^2}*2x-e^x
What is the first derivative of e^{xx}-e^x ?
The first derivative of e^{xx}-e^x is e^{x^2}*2x-e^x