What is the derivative of ln^2(x^3)-3 ?

The derivative of ln^2(x^3)-3 is (6ln(x^3))/x

What is the first derivative of ln^2(x^3)-3 ?

The first derivative of ln^2(x^3)-3 is (6ln(x^3))/x

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derivative of

ln^{2} (x^{3}) - 3

\frac{6 ln ( x ^{3} )}{x}

Solution steps

\frac{d}{d x} (ln^{2} (x^{3}) - 3)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (ln^{2} (x^{3})) - \frac{d}{d x} (3)

\frac{d}{d x} (ln^{2} (x^{3})) = \frac{6 ln ( x ^{3} )}{x}

\frac{d}{d x} (3) = 0

= \frac{6 ln ( x ^{3} )}{x} - 0

Simplify

= \frac{6 ln ( x ^{3} )}{x}

What is the derivative of ln^2(x^3)-3 ?
The derivative of ln^2(x^3)-3 is (6ln(x^3))/x
What is the first derivative of ln^2(x^3)-3 ?
The first derivative of ln^2(x^3)-3 is (6ln(x^3))/x