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

The derivative of e^{2(x-1^2}) is e^{2(x-1)^2}*4(x-1)

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

The first derivative of e^{2(x-1^2}) is e^{2(x-1)^2}*4(x-1)

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

e^{2 (x - 1)^{2}} \cdot 4 (x - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 (x - 1)^{2}) = 4 (x - 1)

= e^{2 (x - 1)^{2}} \cdot 4 (x - 1)

What is the derivative of e^{2(x-1^2}) ?
The derivative of e^{2(x-1^2}) is e^{2(x-1)^2}*4(x-1)
What is the first derivative of e^{2(x-1^2}) ?
The first derivative of e^{2(x-1^2}) is e^{2(x-1)^2}*4(x-1)