Mastering The Chain Rule Of Differentiation: How To Find The Derivative Of √X With Step-By-Step Examples

d√x/dx

dx^1/2/dx = 1/(2√x)

The derivative of d√x/dx can be found using the chain rule of differentiation.

Let y = √x

Therefore,

d y/dx = (1/2) * x^(-1/2) * d x/dx

d√x/dx = (1/2) * x^(-1/2)

Alternatively, we can also write

d√x/dx = 1/(2√x)

Both of these expressions represent the derivative of the square root of x with respect to x.

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