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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int sec^{2} (5 x t a) n^{3} 5 x d x

\int cos (x) cos (5 x) d x

f (x) = x^{2}, (1, 5), 5

\frac{d}{d x} (7^{x} ln^{2} (7))

arccsc (2 x^{4} - 5)

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