Question

differentiation of √x

Answer 1

,done with it.... . .. . .

Answer 2

Answer:

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

Step-by-step explanation:

As d/dx (xⁿ) = nxⁿ⁻¹

√x = $x^{1/2}$

d/dx (√x) = d/dx ($x^{1/2}$)

⇒ $\frac{1}{2} x^{\frac{1}{2} -1}$

⇒ $\frac{1}{2} x^{\frac{-1}{2} }$

⇒ $\frac{1}{2} * \frac{1}{\sqrt{x} }$

⇒ $\frac{1}{2\sqrt{x} }$

Hoping that I have not made any mistakes, You're welcome.

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GeniusH