What is the derivative of sqrt(6+7x) ?

The derivative of sqrt(6+7x) is 7/(2sqrt(6+7x))

What is the first derivative of sqrt(6+7x) ?

The first derivative of sqrt(6+7x) is 7/(2sqrt(6+7x))

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\frac{d}{d x} (6 + 7 x)

\frac{7}{2 6 + 7 x}

Solution steps

\frac{d}{d x} (6 + 7 x)

Apply the chain rule:

\frac{1}{2 6 + 7 x} \frac{d}{d x} (6 + 7 x)

= \frac{1}{2 6 + 7 x} \frac{d}{d x} (6 + 7 x)

\frac{d}{d x} (6 + 7 x) = 7

= \frac{1}{2 6 + 7 x} \cdot 7

Simplify

\frac{1}{2 6 + 7 x} \cdot 7 : \frac{7}{2 6 + 7 x}

= \frac{7}{2 6 + 7 x}

What is the derivative of sqrt(6+7x) ?
The derivative of sqrt(6+7x) is 7/(2sqrt(6+7x))
What is the first derivative of sqrt(6+7x) ?
The first derivative of sqrt(6+7x) is 7/(2sqrt(6+7x))