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Numerade Educator

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Problem 16 Easy Difficulty

Find the derivative of the function.
$ g(x) = e^{x^2 - x} $

Answer

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

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Video Transcript

Let's find the derivative of G of X and G of X is a composite function. It has one function inside the other. The outside function is the E to the X function, and the inside function is the X squared minus X function. Now remember the derivative of each of the exes, each of the X, So the derivative of E to the something will be e to the something times the derivative of the inside. So are derivatives going to be the derivative of the outside E to the something so e to the X squared minus x times the derivative of the inside? So the derivative of that power to X minus one