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Popular Calculus >

Find the Derivative - d/dx natural log of (x)^2

Solution

derivative of

\frac{d}{d x} (ln (x^{2}))

Solution

\frac{2}{x}

Solution steps

\frac{d}{d x} (ln (x^{2}))

Apply the chain rule:

\frac{1}{x ^{2}} \frac{d}{d x} (x^{2})

= \frac{1}{x ^{2}} \frac{d}{d x} (x^{2})

\frac{d}{d x} (x^{2}) = 2 x

= \frac{1}{x ^{2}} \cdot 2 x

Simplify

\frac{1}{x ^{2}} \cdot 2 x : \frac{2}{x}

= \frac{2}{x}

Graph

Popular Examples

Find the Derivative - d/dx natural log of 1-x derivative of

\frac{d}{d x} (ln (1) - x)

Find the Derivative - d/dx y=3 natural log of x

\frac{d}{d x} y = 3 ln (x)

Find the Derivative - d/dx natural log of 4 derivative of

\frac{d}{d x} (ln (4))

Find the Implicit Differentiation - dy/dn y = natural log of 3

- \frac{d y}{d n} y = ln (3)

Find the Derivative - d/dx 2^( natural log of x)derivative of

\frac{d}{d x} (2^{l n (x)})

Frequently Asked Questions (FAQ)

What is the derivative derivative of ln(x^2) ?
The derivative derivative of ln(x^2) is 2/x
What is the first derivative derivative of ln(x^2) ?
The first derivative derivative of ln(x^2) is 2/x