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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derivative of

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}

\frac{d}{d x} (\frac{2 x ^{2} + 5 x + 8}{2 x ^{2}})

\int \frac{1}{( sec ( x ) ) ^{2}} d x

f (x) = 3 e^{x}

\frac{1}{s ^{2} + 8 s + 16}

\frac{d}{d x} (\frac{1}{x + a})

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))