Question

find dy and dx of y =root x​

Answer 1

Answer:

hii

Step-by-step explanation:

ANSWER

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use n√a ^x= a x/n to rewrite

√x as x 1/2 y = x 1/2

differentiate both sides of the equation

d/dx (y) =d/dx (x 1/2)

THE DERIVATIV OF Y WITH RESECT TO X IS Y

i am fine

have nice day

Answer 2

Step-by-step explanation:

$\bold{y = \sqrt{x} }$

$\bold{y = {x}^{ \frac{1}{2} } }$

Differentiating with respect to x .

$\bold{\frac{dy}{dx} = \frac{d}{dx} ({x}^{ \frac{1}{2} } })$

$\bold{ = \frac{1}{2} {x}^{ \frac{1}{2} - 1 } }$

$\bold{ = \frac{1}{2} {x}^{ \frac{1 - 2}{2} } }$

$\bold{ = \frac{1}{2} {x}^{ \frac{ - 1}{2} } }$

$\bold{ = \frac{1}{2 {x}^{ \frac{1}{2} } } }$

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

I hope it is helpful