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Homework Statement
find d/dt for a rectangle.
Homework Equations
A=bh
product rule for derivatives (the first times the derivative of the second plus the second times the derivative of the first)
Chain rule for derivatives
The Attempt at a Solution
If b is a constant, then I know that dA/dh = b (this was the previous problem in which I could solve)
my issue with the current problem is that this variable t that I'm supposed to take the derivative with respect to is not in the problem- so how would I go about doing this?
My attempt:
d/dt (A=bh)
dA/dt = bh
dA/dt = (b(dA/dh)) + (h(dA/db))
My only problem with this solution is that I think there should be a d(b or h)/dt on the right side of the equation because of the chain rule
could someone please explain where/why the variable t comes in and what the correct answer is? Thank you!