What is the derivative of y=sqrt(x(x+2)) ?

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

What is the first derivative of y=sqrt(x(x+2)) ?

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

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derivative of

y = x (x + 2)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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

y = ln (8 + ln (x))

\int \frac{1}{x ^{2} - 196} d x

x \to 0 + lim (ln (\frac{1}{5 x}))

\int sin (x) cos (x) 1 + cos^{2} (x) d x

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