Question

find the derivative of x square into e power x


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Answer 1

Answer:

In this case: We know how to differentiate ex (the answer is ex)

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Using the chain rule to find the derivativeof e^x^2.

ex2► Derivative of ex2= 2xex2e^(x^2)► Derivative of e^(x^2) = 2xex2e x 2► Derivative of e x 2 = 2xex2e to the x squared► Derivative of e tothe x squared = 2xex2

please mark it as brainliest answer

Answer 2

Answer:

$x {}^{2} .e {}^{x} \\ \\ diff .\: with .\: respect .\: to .\: x. \\ \\ \frac{d}{dx} (x {}^{2} .e {}^{x} ) \\ \\ = 2x.e {}^{x} + x {}^{2} .e {}^{x} \\ \\ \\ formula \: \: \: - \: \: \: \frac{d}{dx} (x {}^{2} ) = 2.x {}^{2 - 1} = 2.x \\ \\ \: \: \frac{d}{dx} (e {}^{x} ) = e {}^{x} \\ \\ \: \: \frac{d}{dx} (u.v) = v. \frac{du}{dx} + u. \frac{dv}{dx}$