For , determine from first…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For

f(x)=\sqrt{x}

, determine

f'(x)

from first principles. (a)

\dfrac{\sqrt{x}}{2}

(b)

\dfrac{1}{2\sqrt{x}}

(c)

-\dfrac{1}{2\sqrt{x}}

(d)

\dfrac{1}{\sqrt{x}}

Related theory

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

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