What is the derivative of 2xln(3x-4) ?

The derivative of 2xln(3x-4) is 2(ln(3x-4)+(3x)/(3x-4))

What is the first derivative of 2xln(3x-4) ?

The first derivative of 2xln(3x-4) is 2(ln(3x-4)+(3x)/(3x-4))

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derivative of

2 x ln (3 x - 4)

2 (ln (3 x - 4) + \frac{3 x}{3 x - 4})

Solution steps

\frac{d}{d x} (2 x ln (3 x - 4))

Take the constant out:

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

= 2 \frac{d}{d x} (x ln (3 x - 4))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = ln (3 x - 4)

= 2 (\frac{d x}{d x} ln (3 x - 4) + \frac{d}{d x} (ln (3 x - 4)) x)

\frac{d x}{d x} = 1

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

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

Simplify

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

= 2 (ln (3 x - 4) + \frac{3 x}{3 x - 4})

(- 17, - 13), (- 9, 7)

\frac{d}{d x} (\frac{ln ( 5 x )}{x})

\int_{1}^{7} \frac{1}{36 + ( x - 1 ) ^{2}} d x

\int_{- 3}^{3} 1 d x

sin (7 t)

What is the derivative of 2xln(3x-4) ?
The derivative of 2xln(3x-4) is 2(ln(3x-4)+(3x)/(3x-4))
What is the first derivative of 2xln(3x-4) ?
The first derivative of 2xln(3x-4) is 2(ln(3x-4)+(3x)/(3x-4))