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Find the derivative of f(x) = x2 + 2x using first principle of derivative.

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Please find below the solution to the asked query:

We have:fx=x2+2xfx+h=x+h2+2x+h=x2+h2+2xh+2x+2hBy first principal we have:f'x=limh0 fx+h-fxh=limh0 x2+h2+2xh+2x+2h-x2+2xh=limh0 x2+h2+2xh+2x+2h-x2-2xh=limh0 h2+2xh+2hh=limh0 hh+2x+2h=limh0 h+2x+2Applying limit we get:f'x=0+2x+2=2x+2 Answer
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