Breaking the integrity with differentiation

Calculus Level 2

Emma followed the steps below , and ended up with an unacceptable solution.

Step 1: x^{2}=x * x (x times x)

Step 2: x^{2}=x+x+x+... (x added x times)

Step 3: (taking the derivative of both sides) 2x = 1+1+1+..... (1 added x times )

Step 4: 2x=x

Step 5: 2=1

Which first step in the sequence led to the unacceptable result.


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