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

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

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

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

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derivative of

f (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)

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