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

The derivative of y=sqrt(x+4) is 1/(2sqrt(x+4))

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

The first derivative of y=sqrt(x+4) is 1/(2sqrt(x+4))

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derivative of

y = x + 4

\frac{1}{2 x + 4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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What is the derivative of y=sqrt(x+4) ?
The derivative of y=sqrt(x+4) is 1/(2sqrt(x+4))
What is the first derivative of y=sqrt(x+4) ?
The first derivative of y=sqrt(x+4) is 1/(2sqrt(x+4))