Derivative of e

Directions: Using the digits 1-6, at most one time each, create an exponential function of base e whose derivative at x = 3 is 2.


What is the process for finding the derivative?
What will make e^x ‘disappear’?



Source: Christine Relleva

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  1. Hi Christine! I think you need a factor of 2 outside the exponential function like 2e^(x-3). As a follow-up you might ask students to check g'(3) if
    g(x)= (2/e^3)•e^x. Then ask, “Are the solutions equivalent?”. Keep writing these great problems!😊

    • I think Christine’s original problem and solution work. The function doesn’t need the factor 2 since you get that when you do the derivative.

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