If P is the product and x,y,z are numbers, then
hence, we have,
For maximum possible error, dx, dy and dz are maximum.
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You have used
It cant be >0.5
Four positive numbers lesser than 50 each are rounded to the first decimal and then multiplied between themselves. Use differentials to estimate the maximum possible error of the product.
My attempt : Let , and be the 3 numbers.
We have .
Note that I considered .
However I don't see how I can use differentials. I don't see any way to involve them. So I didn't solve the problem...
Do you have any idea?