What is the derivative of ((x+2)^2)/3 ?

The derivative of ((x+2)^2)/3 is 2/3 (x+2)

What is the first derivative of ((x+2)^2)/3 ?

The first derivative of ((x+2)^2)/3 is 2/3 (x+2)

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derivative of

\frac{( x + 2 ) ^{2}}{3}

\frac{2}{3} (x + 2)

Solution steps

\frac{d}{d x} (\frac{( x + 2 ) ^{2}}{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \frac{d}{d x} ((x + 2)^{2})

Apply the chain rule:

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

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

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

= \frac{1}{3} \cdot 2 (x + 2) \cdot 1

Simplify

\frac{1}{3} \cdot 2 (x + 2) \cdot 1 : \frac{2}{3} (x + 2)

= \frac{2}{3} (x + 2)

What is the derivative of ((x+2)^2)/3 ?
The derivative of ((x+2)^2)/3 is 2/3 (x+2)
What is the first derivative of ((x+2)^2)/3 ?
The first derivative of ((x+2)^2)/3 is 2/3 (x+2)