- #1

Suraj M

Gold Member

- 599

- 39

## Main Question or Discussion Point

i just started with calculus. There was this question my teacher asked us

d/dx (x²) = 2x ... eq 1

now we can write 2² = (2+2)

3² = (3+3+3)

4²=(4+4+4+4)

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n² = (n+n+n+n+.........)

so here d/dx (x²) = d/dx (x+x+x+.......)

so ⇒ d/dx (x) +d/dx(x) +.......(x times) = 1+1+1+.....(x times) = x

⇒d/dx (x²) = x

where did I go wrong??

d/dx (x²) = 2x ... eq 1

now we can write 2² = (2+2)

3² = (3+3+3)

4²=(4+4+4+4)

.

.

.

n² = (n+n+n+n+.........)

_{n times}so here d/dx (x²) = d/dx (x+x+x+.......)

_{x times}so ⇒ d/dx (x) +d/dx(x) +.......(x times) = 1+1+1+.....(x times) = x

⇒d/dx (x²) = x

where did I go wrong??