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September 30, 2014

September 30, 2014

Posted by **kajal** on Monday, September 26, 2011 at 1:12pm.

limit

delta x --> f(x + delta x)- f(x)/delta x

can someone please help me

- calculus -
**Steve**, Tuesday, September 27, 2011 at 10:57amI assume you mean the limit as delta x -> 0.

I'll use delta x = h for simplicity

(f(x + h) - f(x))/h

= (4(x+h)^2 - 3(x+h) - (4x^2 - 3x))/h

= (4x^2 + 8xh + 4h^2 - 3x - 3h - 4x^2 + 3x)/h

= (8xh + 4h^2 - 3h)/h

= 8x - 3 + 4h

Limit as h->0 = 8x-3

Looks like the derivative, eh?

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