What is the derivative of f(x)= 1/5 x-1/2 ?

The derivative of f(x)= 1/5 x-1/2 is 1/5

What is the first derivative of f(x)= 1/5 x-1/2 ?

The first derivative of f(x)= 1/5 x-1/2 is 1/5

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derivative of

f (x) = \frac{1}{5} x - \frac{1}{2}

\frac{1}{5}

Solution steps

\frac{d}{d x} (\frac{1}{5} x - \frac{1}{2})

Simplify

\frac{1}{5} x - \frac{1}{2} : \frac{x}{5} - \frac{1}{2}

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

\frac{d}{d x} (\frac{1}{2}) = 0

= \frac{1}{5} - 0

Simplify

= \frac{1}{5}

\int 8 x^{7} d x

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What is the derivative of f(x)= 1/5 x-1/2 ?
The derivative of f(x)= 1/5 x-1/2 is 1/5
What is the first derivative of f(x)= 1/5 x-1/2 ?
The first derivative of f(x)= 1/5 x-1/2 is 1/5