Question

Derivative of (ln^2)x

Answer 1

\[\frac{ 2 \ln(x) }{ x }\]

Answer 2

What kind of notation is ln^2?

Answer 3

\[\ln ^2 (x) = \ln(x) \times \ln(x)\]

Answer 4

\[f(x) = \ln^2(x)\]
\[f(x)=\ln (x) \times \ln(x)\]
\[f'(x) = \ln(x) \times \frac{ 1 }{ x } + \frac{ 1 }{ x }\times \ln(x)\]
\[f'(x) = \frac{ \ln(x) }{ x } + \frac{ \ln(x) }{ x }\]

Answer 5

Thanks.

\( \dfrac{d}{dt} (\ln x)^2 \)

\(= 2 \ln x \dfrac{d}{dt} (\ln x) \)

\(= 2 \ln x \cdot \dfrac{1}{x} \)

\(= \dfrac{ 2 \ln x }{x} \)