Find the x value at which the derivative of y = e^x is one
Mathematics · College · Thu Feb 04 2021
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To find the value of x at which the derivative of y = e^x is one, we first need to determine the derivative of y = e^x with respect to x. The derivative of e^x with respect to x is simply e^x, since e^x is the unique function that is equal to its own derivative. So the derivative of y with respect to x is:
dy/dx = e^x
We are interested in finding the value of x at which this derivative is equal to 1:
e^x = 1
The equation e^x = 1 has a solution at x = 0 because e^0 = 1. Therefore, the x value at which the derivative of y = e^x is one is x = 0.