What is the derivative of sqrt(7x+4) ?

The derivative of sqrt(7x+4) is 7/(2sqrt(7x+4))

What is the first derivative of sqrt(7x+4) ?

The first derivative of sqrt(7x+4) is 7/(2sqrt(7x+4))

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derivative of

7 x + 4

\frac{7}{2 7 x + 4}

Solution steps

\frac{d}{d x} (7 x + 4)

Apply the chain rule:

\frac{1}{2 7 x + 4} \frac{d}{d x} (7 x + 4)

= \frac{1}{2 7 x + 4} \frac{d}{d x} (7 x + 4)

\frac{d}{d x} (7 x + 4) = 7

= \frac{1}{2 7 x + 4} \cdot 7

Simplify

\frac{1}{2 7 x + 4} \cdot 7 : \frac{7}{2 7 x + 4}

= \frac{7}{2 7 x + 4}

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What is the derivative of sqrt(7x+4) ?
The derivative of sqrt(7x+4) is 7/(2sqrt(7x+4))
What is the first derivative of sqrt(7x+4) ?
The first derivative of sqrt(7x+4) is 7/(2sqrt(7x+4))