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