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Zach · Q15

Algebra

For x≥0x\ge0, x≠2x\ne2, let

f(x)=xx−2x2−x.f(x)=\frac{x\sqrt{x}-2\sqrt{x}}{\sqrt2-\sqrt{x}}.

Define f(2)f(2) by continuous extension. Find f′(2)f\prime(2).

A00
B12\frac1{\sqrt2}
C12\frac12
D−32-\frac32
E32\frac32

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