What is the derivative of f(x)= 1/10 x-1/6 ?

The derivative of f(x)= 1/10 x-1/6 is 1/10

What is the first derivative of f(x)= 1/10 x-1/6 ?

The first derivative of f(x)= 1/10 x-1/6 is 1/10

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derivative of

f (x) = \frac{1}{10} x - \frac{1}{6}

\frac{1}{10}

Solution steps

\frac{d}{d x} (\frac{1}{10} x - \frac{1}{6})

Simplify

\frac{1}{10} x - \frac{1}{6} : \frac{x}{10} - \frac{1}{6}

= \frac{d}{d x} (\frac{x}{10} - \frac{1}{6})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{10}) - \frac{d}{d x} (\frac{1}{6})

\frac{d}{d x} (\frac{x}{10}) = \frac{1}{10}

\frac{d}{d x} (\frac{1}{6}) = 0

= \frac{1}{10} - 0

Simplify

= \frac{1}{10}

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What is the derivative of f(x)= 1/10 x-1/6 ?
The derivative of f(x)= 1/10 x-1/6 is 1/10
What is the first derivative of f(x)= 1/10 x-1/6 ?
The first derivative of f(x)= 1/10 x-1/6 is 1/10