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

The derivative of x+4sqrt(x+2) is 1+2/(sqrt(x+2))

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

The first derivative of x+4sqrt(x+2) is 1+2/(sqrt(x+2))

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derivative of

x + 4 x + 2

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d x}{d x} = 1

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

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

x \to 3 lim \frac{\frac{1}{3} x - \frac{1}{3}}{x - 3}

8 cos (x)

2 t + 1

x \to \infty lim (x^{2} - 25)

\frac{d y}{d x} + 8 y = 6

What is the derivative of x+4sqrt(x+2) ?
The derivative of x+4sqrt(x+2) is 1+2/(sqrt(x+2))
What is the first derivative of x+4sqrt(x+2) ?
The first derivative of x+4sqrt(x+2) is 1+2/(sqrt(x+2))