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CalculusChallengeThe Derivative

The Derivative · Challenge problem

Using only the limit definition f′(x)=lim⁡h→0f(x+h)−f(x)hf'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}, find f′(x)f'(x) for f(x)=2x+1f(x)=\sqrt{2x+1}.