What is the derivative of sqrt(7x-2) ?

The derivative of sqrt(7x-2) is 7/(2sqrt(7x-2))

What is the first derivative of sqrt(7x-2) ?

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

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derivative of

7 x - 2

\frac{7}{2 7 x - 2}

Solution steps

\frac{d}{d x} (7 x - 2)

Apply the chain rule:

\frac{1}{2 7 x - 2} \frac{d}{d x} (7 x - 2)

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

\frac{d}{d x} (7 x - 2) = 7

= \frac{1}{2 7 x - 2} \cdot 7

Simplify

\frac{1}{2 7 x - 2} \cdot 7 : \frac{7}{2 7 x - 2}

= \frac{7}{2 7 x - 2}

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