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

The derivative of ln^2(3*3^x) is ln^3(3)*3^x

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

The first derivative of ln^2(3*3^x) is ln^3(3)*3^x

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

ln^{3} (3) \cdot 3^{x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= ln^{2} (3) \cdot 3^{x} ln (3)

Simplify

ln^{2} (3) \cdot 3^{x} ln (3) : ln^{3} (3) \cdot 3^{x}

= ln^{3} (3) \cdot 3^{x}

x \to 2 lim (\frac{3 x - 2}{1 - 2 x})

x \frac{d v}{d x} = 2 v + \frac{10}{v}

x \to 7 lim (x^{2} - 4 x + 18)

\int \frac{1 x}{2} d x

\int (\frac{x}{x ^{2} + y ^{2}}) d x

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