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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.

Hint

Hint

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

Answer

Answer

y=e^(2x-6)

Source: Christine Relleva

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One comment

  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!😊
    Dave

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