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What is the derivative of #x^e#?

1 Answer

Jul 11, 2016

#y = x^(e)#, so #y' = e*x^(e-1)#

Explanation:

Since #e# is just a constant, we can apply the power rule for derivatives, which tells us that

#d/dx[x^n] = n*x^(n-1)#, where #n# is a constant.

In this case, we have

#y = x^(e)#, so #y' = e*x^(e-1)#

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