Solve 6w-3w+12w+4w

$$6 w - 3 w + 12 w + 4 w$$

Evaluate

$$19w$$

Solution Steps

Combine 6w and -3w to get 3w.

$$3w+12w+4w$$

Combine 3w and 12w to get 15w.

$$15w+4w$$

Combine 15w and 4w to get 19w.

$$19w$$

Differentiate w.r.t. w

$$19$$

Steps Using Definition of a Derivative

Combine 6w and -3w to get 3w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(3w+12w+4w)$$

Combine 3w and 12w to get 15w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(15w+4w)$$

Combine 15w and 4w to get 19w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(19w)$$

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

$$19w^{1-1}$$

Subtract 1 from 1.

$$19w^{0}$$

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

$$19\times 1$$

For any term t, t\times 1=t and 1t=t.

$$19$$