Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Hey tell me the mistake... I have proved 2=1 x 2 = x*x =x+x+x+x+...(x times) lets take derivatives both side... d/dx(x 2 )=d/dx(x+x+x+x+...(xtimes)) 2x=1+1+1+1+...(x times) 2x=x 2=1 I can’t find the mistake...this is not possible..

 
Hey tell me the mistake... I have proved 2=1
 
x2= x*x
    =x+x+x+x+...(x times)
lets take derivatives both side...
d/dx(x2)=d/dx(x+x+x+x+...(xtimes))
2x=1+1+1+1+...(x times)
2x=x
2=1
 I can’t find the mistake...this is not possible..

Grade:11

1 Answers

Arun
25763 Points
2 years ago
It is pretty clear that, adding a number `x` times makes sense only if `x` is a positive integer. Hence the function X^2 is written this way. So the function X^2 exizts only for integers. This is against the basic requirement of differentiation. A function is differentiable only if it is continuous. But our function is defined only for integers. So it is not continuous. Its discrete and hence not differentiable. Hence wrong.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free