What is the derivative of sqrt(4x-1) ?

The derivative of sqrt(4x-1) is 2/(sqrt(4x-1))

What is the first derivative of sqrt(4x-1) ?

The first derivative of sqrt(4x-1) is 2/(sqrt(4x-1))

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derivative of

4 x - 1

\frac{2}{4 x - 1}

Solution steps

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

Apply the chain rule:

\frac{1}{2 4 x - 1} \frac{d}{d x} (4 x - 1)

= \frac{1}{2 4 x - 1} \frac{d}{d x} (4 x - 1)

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

= \frac{1}{2 4 x - 1} \cdot 4

Simplify

\frac{1}{2 4 x - 1} \cdot 4 : \frac{2}{4 x - 1}

= \frac{2}{4 x - 1}

y^{^{'}} = \frac{( x - 8 )}{x}

\frac{\partial}{\partial x} (U (x) (1 + \frac{R ( x ) ^{3}}{x ^{3}}))

2 x + y^{2} = 48, x = y

y^{^{'}} + 3 y = 4 sin (e^{3 x})

\int \frac{13}{25 - 9 x ^{2}} d x

What is the derivative of sqrt(4x-1) ?
The derivative of sqrt(4x-1) is 2/(sqrt(4x-1))
What is the first derivative of sqrt(4x-1) ?
The first derivative of sqrt(4x-1) is 2/(sqrt(4x-1))