What is the derivative of f(x)= 1/2 x-1/10 ?

The derivative of f(x)= 1/2 x-1/10 is 1/2

What is the first derivative of f(x)= 1/2 x-1/10 ?

The first derivative of f(x)= 1/2 x-1/10 is 1/2

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derivative of

f (x) = \frac{1}{2} x - \frac{1}{10}

\frac{1}{2}

Decimal

0.5

Solution steps

\frac{d}{d x} (\frac{1}{2} x - \frac{1}{10})

Simplify

\frac{1}{2} x - \frac{1}{10} : \frac{x}{2} - \frac{1}{10}

= \frac{d}{d x} (\frac{x}{2} - \frac{1}{10})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{2}) - \frac{d}{d x} (\frac{1}{10})

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

\frac{d}{d x} (\frac{1}{10}) = 0

= \frac{1}{2} - 0

Simplify

= \frac{1}{2}

What is the derivative of f(x)= 1/2 x-1/10 ?
The derivative of f(x)= 1/2 x-1/10 is 1/2
What is the first derivative of f(x)= 1/2 x-1/10 ?
The first derivative of f(x)= 1/2 x-1/10 is 1/2