Hi(adsbygoogle = window.adsbygoogle || []).push({});

I have a basic question on calculus ....please can someone explain to me :

Let f(x) = x^2

y + delta y = f ( x + delta x )

The book says that a small increase in x will cause a small increase in y.

But if I put lets say 3 and 2 for x and dx y is 5^2 which is 25.

But this isn't the same as f(3) + f(2) which equals 13 ?

What have I done wrong ?

Also, can f ( a+b+c ) be treated as f(a) + f(b) + f(c) ?

Thanks a lot for any help

Roger

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# Basic calculus question

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