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Assume that the expression is:

y = 9e^(t)

Remember that the derivative of e^(t) with respect to t is e^(t). If we take the derivative of the function y, we have..

dy/dt = 9 d[e^(t)]/dt

= 9e^(t)

Note that I factor out the constant 9. If we keep the 9 in the brackets, then the solution doesn't make a difference.

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12y ago

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Q: What is derivative of 9et?
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