What is (\partial)/(\partial x)(sqrt(7x+16)) ?

The answer to (\partial)/(\partial x)(sqrt(7x+16)) is 7/(2sqrt(7x+16))

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(\partial)/(\partial x)(sqrt(7x+16))

\frac{\partial}{\partial x} (7 x + 16)

\frac{7}{2 7 x + 16}

Solution steps

\frac{\partial}{\partial x} (7 x + 16)

Apply the chain rule:

\frac{1}{2 7 x + 16} \frac{\partial}{\partial x} (7 x + 16)

= \frac{1}{2 7 x + 16} \frac{\partial}{\partial x} (7 x + 16)

\frac{\partial}{\partial x} (7 x + 16) = 7

= \frac{1}{2 7 x + 16} \cdot 7

Simplify

\frac{1}{2 7 x + 16} \cdot 7 : \frac{7}{2 7 x + 16}

= \frac{7}{2 7 x + 16}

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What is (\partial)/(\partial x)(sqrt(7x+16)) ?
The answer to (\partial)/(\partial x)(sqrt(7x+16)) is 7/(2sqrt(7x+16))