# Find derivative of f(x)=(x-1)^2+1

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• February 17th 2014, 05:50 PM
nugen
Find derivative of f(x)=(x-1)^2+1
The problem is: Find the derivative of the function using the limit definition. f(x)=(x-1)^2+1

Am I suppose to factor out the (x-1)^2 first? Or would I write it as: (x+h-1)^2+1-(x-1)^2+1?

Please help me! Much appreciated!
• February 17th 2014, 06:11 PM
Jonroberts74
Re: Find derivative of f(x)=(x-1)^2+1
$\frac{[(x-1+h)^2+1] - [(x-1)^2 +1]}{h}$ you should end up with 2x-2 which is the same as 2(x-1)
• February 17th 2014, 07:06 PM
ibdutt
Re: Find derivative of f(x)=(x-1)^2+1