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

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

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

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

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

\frac{2}{3}

Solution steps

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= \frac{1}{3} (2 + 0)

Simplify

\frac{1}{3} (2 + 0) : \frac{2}{3}

= \frac{2}{3}

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