What is the derivative of (4x+5/8) ?

The derivative of (4x+5/8) is 1/2

What is the first derivative of (4x+5/8) ?

The first derivative of (4x+5/8) is 1/2

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\frac{d}{d x} (\frac{4 x + 5}{8})

\frac{1}{2}

Decimal

0.5

Solution steps

\frac{d}{d x} (\frac{4 x + 5}{8})

Take the constant out:

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

= \frac{1}{8} \frac{d}{d x} (4 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{1}{8} (\frac{d}{d x} (4 x) + \frac{d}{d x} (5))

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (5) = 0

= \frac{1}{8} (4 + 0)

Simplify

\frac{1}{8} (4 + 0) : \frac{1}{2}

= \frac{1}{2}

What is the derivative of (4x+5/8) ?
The derivative of (4x+5/8) is 1/2
What is the first derivative of (4x+5/8) ?
The first derivative of (4x+5/8) is 1/2