Multivariable Chain Rule Q1 from Session 33: Examples. Should the answer not include -100 as a constant? i.e. is du/dt, where u=-100e^t, not equal to -100e^t?

Question

Multivariable Chain Rule Q1 from Session 33: Examples.  Should the answer not include -100 as a constant?  i.e. is du/dt, where u=-100e^t, not equal to -100e^t?

owlfred · Answer

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anonymous · Answer

Hey,
The answer is correct, du/dt is equal to -100e^t; the constant stays through the derivative, and the only time a constant disappears is when it is alone, e.g. u=-100, then du/dt=0.

anonymous · Answer

So the answer in problem set is wrong then as I was suggesting - it drops the constant.