Best solutions to - "Find the derivative of f(x)=x."

David Lewis

Answered question

2021-12-13

Find the derivative of

f (x) = \sqrt{x}

Navreaiw

Beginner2021-12-14Added 34 answers

f (x) = \sqrt{x}

\sqrt{x} = \frac{1}{2 \sqrt{x}}

\sqrt{x} = x^{\frac{1}{2}}

Thus,

\frac{d}{d x} x^{n} = n x^{n - 1}

Let

n = \frac{1}{2}

, so

\frac{d}{d x} x^{\frac{1}{2}} = \frac{1}{2} x^{\frac{1}{2} - 1} = \frac{1}{2} x^{- \frac{1}{2}} = \frac{1}{2} \times \frac{1}{\sqrt{x}} = \frac{1}{2 \sqrt{x}}

Becky Harrison

Beginner2021-12-15Added 40 answers

The derivative of

f (x) = \sqrt{x}

\frac{1}{2 \sqrt{x}}

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