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

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

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

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

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

e^{x^{2} - x} (2 x - 1)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{2} - x} (2 x - 1)

\int_{0}^{3} x - (x^{2} - 2 x) d x

\int 7 + 6 x - x^{2} d x

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

x \to - 3 lim (\frac{( x + 2 )}{x + 3})

\frac{\partial}{\partial x} (x^{2} y + 2 x z + 2 y^{2} + 6 z + 9)

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