What is the derivative of (x-1/3) ?

The derivative of (x-1/3) is 1/3

What is the first derivative of (x-1/3) ?

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

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\frac{d}{d x} (\frac{x - 1}{3})

\frac{1}{3}

Solution steps

\frac{d}{d x} (\frac{x - 1}{3})

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (x - 1)

Apply the Sum/Difference Rule:

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

= \frac{1}{3} (\frac{d x}{d x} - \frac{d}{d x} (1))

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

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

= \frac{1}{3} (1 - 0)

Simplify

= \frac{1}{3}

\frac{6 x}{x ^{2} + 1} (1.3)

\frac{7 x}{( x ^{3} - 2 ) ^{2}}

\int - \frac{cos ( 2 x )}{4} d x

\frac{d y}{d x} = \frac{2}{3} y

x \to 4 lim (x + 1)

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