What is the derivative of 2x-sqrt(x+3) ?

The derivative of 2x-sqrt(x+3) is 2-1/(2sqrt(x+3))

What is the first derivative of 2x-sqrt(x+3) ?

The first derivative of 2x-sqrt(x+3) is 2-1/(2sqrt(x+3))

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

2 - \frac{1}{2 x + 3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 - \frac{1}{2 x + 3}

sin^{2} (x^{2})

x \to \frac{1}{2} lim (∣ x ∣)

\int (x^{5} - 2 x + 4) d x

y = \frac{10 x + 15}{x}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 0

What is the derivative of 2x-sqrt(x+3) ?
The derivative of 2x-sqrt(x+3) is 2-1/(2sqrt(x+3))
What is the first derivative of 2x-sqrt(x+3) ?
The first derivative of 2x-sqrt(x+3) is 2-1/(2sqrt(x+3))