What is the derivative of (2x+5/3) ?

The derivative of (2x+5/3) is 2/3

What is the first derivative of (2x+5/3) ?

The first derivative of (2x+5/3) is 2/3

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\frac{d}{d x} (\frac{2 x + 5}{3})

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

\frac{d}{d x} (\frac{2 x + 5}{3})

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (2 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{1}{3} (\frac{d}{d x} (2 x) + \frac{d}{d x} (5))

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

\frac{d}{d x} (5) = 0

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

Simplify

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

= \frac{2}{3}

f (x) = x arctan (x)

x \to 0 lim (\frac{1}{x ^{\frac{2}{3}}})

\int (4 x^{3} + 7) d x

\frac{\partial}{\partial x} (z sin (x) + y^{2})

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

What is the derivative of (2x+5/3) ?
The derivative of (2x+5/3) is 2/3
What is the first derivative of (2x+5/3) ?
The first derivative of (2x+5/3) is 2/3