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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

cot (x^{8})

y = (\frac{8 x ^{2} - 5}{2 - x})^{3}

g (x) = lo g_{7} (8 x^{3} - 9 x^{2})

\int x (x sin (x) - cos (x)) d x

\int_{0}^{0.9} \frac{1}{( 1 - x )} d x

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