What is the derivative of-3log_{4}(x) ?

The derivative of-3log_{4}(x) is -3/(2ln(2)x)

What is the first derivative of-3log_{4}(x) ?

The first derivative of-3log_{4}(x) is -3/(2ln(2)x)

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derivative of

- 3 lo g_{4} (x)

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

Solution steps

\frac{d}{d x} (- 3 lo g_{4} (x))

Take the constant out:

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

= - 3 \frac{d}{d x} (lo g_{4} (x))

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= - 3 \cdot \frac{1}{x ln ( 4 )}

Simplify

- 3 \cdot \frac{1}{x ln ( 4 )} : - \frac{3}{2 ln ( 2 ) x}

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

n \to \infty lim (\frac{( 2 n ) ^{2 n}}{( 2 n + 2 ) ^{2 n}})

x \to 2 lim (3 x - 1)

\frac{d y}{d t} = 6 y + 2 t - 4

\int \frac{- 2}{2 x - 3} d x

n = 1 \sum \infty 5^{n} x^{n}

What is the derivative of-3log_{4}(x) ?
The derivative of-3log_{4}(x) is -3/(2ln(2)x)
What is the first derivative of-3log_{4}(x) ?
The first derivative of-3log_{4}(x) is -3/(2ln(2)x)