What is the derivative of xsqrt(x+2) ?

The derivative of xsqrt(x+2) is (3x+4)/(2sqrt(x+2))

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

The first derivative of xsqrt(x+2) is (3x+4)/(2sqrt(x+2))

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

\frac{3 x + 4}{2 x + 2}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = x + 2

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

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

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

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

Simplify

1 \cdot x + 2 + \frac{1}{2 x + 2} x : \frac{3 x + 4}{2 x + 2}

= \frac{3 x + 4}{2 x + 2}

f (x) = x^{4} - 8 x^{3}

\frac{d}{d x} (cos (- 5 ln (- 3 x - 1)))

\int \frac{( 1 + y )}{y} d y

f (x) = (x + 1)

\int_{0}^{l n (2)} e^{x} - 1 d x

What is the derivative of xsqrt(x+2) ?
The derivative of xsqrt(x+2) is (3x+4)/(2sqrt(x+2))
What is the first derivative of xsqrt(x+2) ?
The first derivative of xsqrt(x+2) is (3x+4)/(2sqrt(x+2))