Let . Write the limit that defines and evaluate this limit to find the value of…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let

f(x)=\sqrt{x^{2}+1}

. Write the limit that defines

f'(0)

and evaluate this limit to find the value of

f'(0)

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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