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Error?

1=power(1,2)

2+2=power(2,2)

3+3+3=power(3,2)

4+4+4+4=power(4,2) . . . . .

x+x+x+....(x times)=power(x,2)

Differentiating w.r.t. x

1+1+1+....(x times)=2*x

=> x=2*x

=> 1=2

What's the wrong ? Can you find it?

Note by Sayan Chakrabarty
4 years, 1 month ago

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1 vote

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This can help you.

Mursalin Habib - 4 years, 1 month ago

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x+x+x......is x times which is variable........hence that differeantiating step is wrong

Ritesh Puri - 4 years, 1 month ago

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There is "(\(x\) times)", which relies on \(x\) too, so you can't just go differentiate term by term on the left hand side. Or something similar. I've read this but cannot find it again.

Ivan Koswara - 4 years, 1 month ago

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Why use division property of equality in the part (x = 2x) if you can isolate the x's instead...

John Ashley Capellan - 4 years, 1 month ago

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