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Popular >

(ln(x/3))^'

Solution

(ln (\frac{x}{3}))^{^{'}}

Solution

\frac{1}{x}

Solution steps

(ln (\frac{x}{3}))^{'}

Apply the chain rule:

\frac{1}{\frac{x}{3}} (\frac{x}{3})^{'}

= \frac{1}{\frac{x}{3}} (\frac{x}{3})^{'}

(\frac{x}{3})^{'} = \frac{1}{3}

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

Simplify

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

= \frac{1}{x}

Popular Examples

derivative of x^3(x-7)^2 derivative of

x^{3} (x - 7)^{2}

tangent of y=x^2+3 tangent of

y = x^{2} + 3

(\partial)/(\partial y)(sqrt(41-x^2-4y^2))

\frac{\partial}{\partial y} (41 - x^{2} - 4 y^{2})

y^{^{''}} + \frac{y}{a} = 0

integral of 1/(x^3+x^2+x+1)

\int \frac{1}{x ^{3} + x ^{2} + x + 1} d x

Frequently Asked Questions (FAQ)

What is the (ln(x/3))^' ?
The (ln(x/3))^' is 1/x
What is the first (ln(x/3))^' ?
The first (ln(x/3))^' is 1/x