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Popular >

derivative of ln((3x/4))

Solution

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

Solution

\frac{1}{x}

Solution steps

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

Apply the chain rule:

\frac{1}{\frac{3 x}{4}} \frac{d}{d x} (\frac{3 x}{4})

= \frac{1}{\frac{3 x}{4}} \frac{d}{d x} (\frac{3 x}{4})

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

= \frac{1}{\frac{3 x}{4}} \cdot \frac{3}{4}

Simplify

\frac{1}{\frac{3 x}{4}} \cdot \frac{3}{4} : \frac{1}{x}

= \frac{1}{x}

Popular Examples

y^'=(x(x^2+1))/(4y^3)

y^{^{'}} = \frac{x ( x ^{2} + 1 )}{4 y ^{3}}

integral of 3/(x^4)+4/(x^2)-6/(x^3)

\int \frac{3}{x ^{4}} + \frac{4}{x ^{2}} - \frac{6}{x ^{3}} d x

2ty^'+(4+12t^3-120t^2)y=0

2 t y^{^{'}} + (4 + 12 t^{3} - 120 t^{2}) y = 0

derivative of y=(5t-1)(6t-3)^{-1}derivative of

y = (5 t - 1) (6 t - 3)^{- 1}

tangent of f(x)=x+4e^x tangent of

f (x) = x + 4 e^{x}

Frequently Asked Questions (FAQ)

What is the derivative of ln((3x/4)) ?
The derivative of ln((3x/4)) is 1/x
What is the first derivative of ln((3x/4)) ?
The first derivative of ln((3x/4)) is 1/x