What is the derivative of y=12(ln(2x)3) ?

The derivative of y=12(ln(2x)3) is (36)/x

What is the first derivative of y=12(ln(2x)3) ?

The first derivative of y=12(ln(2x)3) is (36)/x

derivative of

y = 12 (ln (2 x) 3)

\frac{36}{x}

Solution steps

\frac{d}{d x} (12 ln (2 x) \cdot 3)

Simplify

12 ln (2 x) \cdot 3 : 36 ln (2 x)

= \frac{d}{d x} (36 ln (2 x))

Take the constant out:

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

= 36 \frac{d}{d x} (ln (2 x))

Apply the chain rule:

\frac{1}{2 x} \frac{d}{d x} (2 x)

= \frac{1}{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 36 \cdot \frac{1}{2 x} \cdot 2

Simplify

36 \cdot \frac{1}{2 x} \cdot 2 : \frac{36}{x}

= \frac{36}{x}

l a pl a ce t r an s f or m 7 e^{2 t}

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

\frac{d}{d x} (\frac{1}{16 x ^{2}})

\frac{d y}{d t} = - 2 y

\int \frac{x + 3}{x ( x - 1 ) ( x + 4 )} d x

What is the derivative of y=12(ln(2x)3) ?
The derivative of y=12(ln(2x)3) is (36)/x
What is the first derivative of y=12(ln(2x)3) ?
The first derivative of y=12(ln(2x)3) is (36)/x