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

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

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

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

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

\frac{2}{x + 2}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2}{x + 2}

\frac{d}{d x} (\frac{8}{3 + x ^{2}})

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

\frac{d}{d x} (\frac{y - 2 x}{2 y - x})

\frac{1}{1 + 2 x}

\int \frac{x ^{3} - 1}{x} d x

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