Derivative of ln(√x)

We know the derivative of ln(x), which is ¹⁄ₓ.

[ln(x)]' = ¹⁄ₓ

We can find the derivative of ln(√x) using chain rule.

Find ᵈʸ⁄dₓ, if

y = ln(√x)

Let u = √x.

y = ln(u)

Now,

y = ln(u) ----> y is a function of u

u = √x ----> u is is a function of x

By chain rule, the derivative of y with respect to x :

Substitute y = ln(u) and u = √x.

Substitute u = √x.

Therefore,

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.