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Popular >

(ln(5x))^'

Solution

(ln (5 x))^{^{'}}

Solution

\frac{1}{x}

Solution steps

(ln (5 x))^{'}

Apply the chain rule:

\frac{1}{5 x} (5 x)^{'}

= \frac{1}{5 x} (5 x)^{'}

(5 x)^{'} = 5

= \frac{1}{5 x} \cdot 5

Simplify

\frac{1}{5 x} \cdot 5 : \frac{1}{x}

= \frac{1}{x}

Popular Examples

integral from 0 to 2 of x/(sqrt(1+2x^2))

\int_{0}^{2} \frac{x}{1 + 2 x ^{2}} d x

derivative of (e^x/(4x^2))

\frac{d}{d x} (\frac{e ^{x}}{4 x ^{2}})

(dy)/(dx)=(x-1)(1-y)

\frac{d y}{d x} = (x - 1) (1 - y)

y^{''}-8y^'+9y=0,y(0)=0,y^'(0)=9

y^{^{''}} - 8 y^{^{'}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 9

(\partial)/(\partial x)(x^{-3})

\frac{\partial}{\partial x} (x^{- 3})

Frequently Asked Questions (FAQ)

What is the (ln(5x))^' ?
The (ln(5x))^' is 1/x
What is the first (ln(5x))^' ?
The first (ln(5x))^' is 1/x