What is the derivative of f(x)=ln(x^2) ?

The derivative of f(x)=ln(x^2) is 2/x

What is the first derivative of f(x)=ln(x^2) ?

The first derivative of f(x)=ln(x^2) is 2/x

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derivative of

f (x) = ln (x^{2})

\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}

x = - 5

x^{2} e^{3 x}

x

f (x) = 3 x + 8, at x = 4

(8.4) (20.1)

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