For , the derivative obtained from first principles…

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

Problem

For f(x)=xf(x)=\sqrt{x} (x>0)(x>0), the derivative f′(x)f'(x) obtained from first principles is (a) 1x\dfrac{1}{\sqrt{x}} (b) 12x\dfrac{1}{2\sqrt{x}} (c) x2\dfrac{\sqrt{x}}{2} (d) 14x\dfrac{1}{4\sqrt{x}}

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