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Popular >

derivative of sqrt(x(x+13))

Solution

\frac{d}{d x} (x (x + 13))

Solution

\frac{2 x + 13}{2 x ( x + 13 )}

Solution steps

\frac{d}{d x} (x (x + 13))

Apply the chain rule:

\frac{1}{2 x ( x + 13 )} \frac{d}{d x} (x (x + 13))

= \frac{1}{2 x ( x + 13 )} \frac{d}{d x} (x (x + 13))

\frac{d}{d x} (x (x + 13)) = 2 x + 13

= \frac{1}{2 x ( x + 13 )} (2 x + 13)

Simplify

\frac{1}{2 x ( x + 13 )} (2 x + 13) : \frac{2 x + 13}{2 x ( x + 13 )}

= \frac{2 x + 13}{2 x ( x + 13 )}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x(x+13)) ?
The derivative of sqrt(x(x+13)) is (2x+13)/(2sqrt(x(x+13)))
What is the first derivative of sqrt(x(x+13)) ?
The first derivative of sqrt(x(x+13)) is (2x+13)/(2sqrt(x(x+13)))