define f=4x+8 and differentiate f — step-by-step solution

We apply the definition:

f = 4 x + 8

Let's perform the differentiation:

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

ⓘ Differentiate a sum by differentiating each term, then adding the derivatives:

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

\frac{d}{d x} (4 x) + 0

\frac{d}{d x} (4 x) + 0

ⓘ Adding 0 changes nothing:

\frac{d}{d x} (4 x) + 0

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

■A constant factor stays in front of the derivative: that of

k u

k \cdot u'

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

4

▶Derivative:

4