What is the derivative of sqrt(4x-2) ?

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

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

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

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

\frac{2}{4 x - 2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{x ^{3} + 4 x + 3}{x ^{4} + 5 x ^{2} + 4} d x

x y \frac{d y}{d x} = x^{2} + 8 y^{2}

\int (3 sec^{2} (x)) d x

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

x \to 8 lim (1)

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