Product Rule

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Homework Statement


Differentiate y = u * e^t + v * t * e^t


Homework Equations


Product Rule.


The Attempt at a Solution


y = u' * e^t + u * e^t + ( v' * t * e^t + v * e^t + v * t * e^t)

u and v are functions of t.

I forgot whether the product rule works like this: d/dt [xyz] = x'yz + xy'z + xyz' when x, y, z are all functions of t. Is this correct?
 

Answers and Replies

  • #2
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Yes, that's correct.
 

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