What is the derivative of sqrt(2x+6) ?

The derivative of sqrt(2x+6) is 1/(sqrt(2x+6))

What is the first derivative of sqrt(2x+6) ?

The first derivative of sqrt(2x+6) is 1/(sqrt(2x+6))

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\frac{d}{d x} (2 x + 6)

\frac{1}{2 x + 6}

Solution steps

\frac{d}{d x} (2 x + 6)

Apply the chain rule:

\frac{1}{2 2 x + 6} \frac{d}{d x} (2 x + 6)

= \frac{1}{2 2 x + 6} \frac{d}{d x} (2 x + 6)

\frac{d}{d x} (2 x + 6) = 2

= \frac{1}{2 2 x + 6} \cdot 2

Simplify

\frac{1}{2 2 x + 6} \cdot 2 : \frac{1}{2 x + 6}

= \frac{1}{2 x + 6}

y = x (x^{2} + 7)^{4}

\frac{\partial}{\partial x} (4 e^{x y})

y = x, y = 4, x = 0, x = 22

\frac{d y}{d x} = (\frac{x ^{2} + 2}{3 y ^{2}})

\frac{\partial}{\partial m} (\frac{1}{2} m v^{2})

What is the derivative of sqrt(2x+6) ?
The derivative of sqrt(2x+6) is 1/(sqrt(2x+6))
What is the first derivative of sqrt(2x+6) ?
The first derivative of sqrt(2x+6) is 1/(sqrt(2x+6))