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

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

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

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

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derivative of

\frac{- x}{3}

- \frac{1}{3}

Solution steps

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

Simplify

\frac{- x}{3} : - \frac{x}{3}

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

Take the constant out:

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

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

Apply the common derivative:

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

= - \frac{1}{3} \cdot 1

Simplify

= - \frac{1}{3}

\frac{x ^{5}}{5 + 10}

2 (3 t + 1) 12

x + 47

e^{x^{2} + 1}

x (1 + x)^{3}