What is the derivative of log_{3}((3x^2/(sqrt(x)))) ?

The derivative of log_{3}((3x^2/(sqrt(x)))) is 3/(2ln(3)x)

What is the first derivative of log_{3}((3x^2/(sqrt(x)))) ?

The first derivative of log_{3}((3x^2/(sqrt(x)))) is 3/(2ln(3)x)

Popular >

\frac{d}{d x} (lo g_{3} (\frac{3 x ^{2}}{x}))

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

Solution steps

\frac{d}{d x} (lo g_{3} (\frac{3 x ^{2}}{x}))

Simplify

lo g_{3} (\frac{3 x ^{2}}{x}) : lo g_{3} (x^{\frac{3}{2}}) + 1

= \frac{d}{d x} (lo g_{3} (x^{\frac{3}{2}}) + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (lo g_{3} (x^{\frac{3}{2}})) + \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= \frac{3}{2 ln ( 3 ) x} + 0

Simplify

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

\frac{d y}{d x} = \frac{x y + x + 3 y + 3}{x y + 2 x - y - 2}

\int cos (4 u) d u

x^{2} + x y + 2 y^{2} = 28, (- 5, 3)

\frac{100}{s ( s ^{2} + 25 )}

x \to 2 - lim (2 x - 4)

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