What is the derivative of e^{x^2-2x+1} ?

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

What is the first derivative of e^{x^2-2x+1} ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} (x^{3} y^{2} e^{x z})

\frac{d}{d x} (\frac{1 + e ^{- 2 x}}{2 + cos ( 2 x )})

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

f (x) = 3 x^{3} - x^{2} + 1, (2, 21)

\int_{- 2}^{1} \frac{1}{x ^{2}} d x

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