Math, asked by aparnapathak2711, 16 days ago

If y = √x then dy/DX is

Answers

Answered by yadav1980
2

Answer:

1/2√x

Step-by-step explanation:

dy/dx means differentiate function w.r.t. to x

dy/dx = 1/2 x^-1/2 = 1/2√x

Answered by Agastya0606
8

Given,

A fucntion y = √x

To Find,

The value of dy/dx.

Solution,

The given function is

y = √x

which can also be written as

y = x^1/2

So, using the formula dxⁿ/dx = nxⁿ⁻¹

In this case n = 1/2

So,

dy/dx = 1/2 x^(1/2-1)

dy/dx = 1/(2√x)

Hence, the value of dy/dx is 1/(2√x).

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