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

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

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

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

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derivative of

g (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)

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