What is the derivative of (10-3x)/2 ?

The derivative of (10-3x)/2 is -3/2

What is the first derivative of (10-3x)/2 ?

The first derivative of (10-3x)/2 is -3/2

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derivative of

\frac{10 - 3 x}{2}

- \frac{3}{2}

Solution steps

\frac{d}{d x} (\frac{10 - 3 x}{2})

Take the constant out:

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

= \frac{1}{2} \frac{d}{d x} (10 - 3 x)

Apply the Sum/Difference Rule:

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

= \frac{1}{2} (\frac{d}{d x} (10) - \frac{d}{d x} (3 x))

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

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

= \frac{1}{2} (0 - 3)

Simplify

\frac{1}{2} (0 - 3) : - \frac{3}{2}

= - \frac{3}{2}

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What is the derivative of (10-3x)/2 ?
The derivative of (10-3x)/2 is -3/2
What is the first derivative of (10-3x)/2 ?
The first derivative of (10-3x)/2 is -3/2