Solve 4w-12w+4w

$$4 w - 12 w + 4 w$$

Evaluate

$$-4w$$

Solution Steps

Combine 4w and -12w to get -8w.

$$-8w+4w$$

Combine -8w and 4w to get -4w.

$$-4w$$

Differentiate w.r.t. w

$$-4$$

Steps Using Definition of a Derivative

Combine 4w and -12w to get -8w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-8w+4w)$$

Combine -8w and 4w to get -4w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-4w)$$

The derivative of ax^{n} is nax^{n-1}.

$$-4w^{1-1}$$

Subtract 1 from 1.

$$-4w^{0}$$

For any term t except 0, t^{0}=1.

$$-4$$