Solve 3w-4w+8w

$$3 w - 4 w + 8 w$$

Evaluate

$$7w$$

Solution Steps

Combine 3w and -4w to get -w.

$$-w+8w$$

Combine -w and 8w to get 7w.

$$7w$$

Differentiate w.r.t. w

$$7$$

Steps Using Definition of a Derivative

Combine 3w and -4w to get -w.

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

Combine -w and 8w to get 7w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(7w)$$

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

$$7w^{1-1}$$

Subtract 1 from 1.

$$7w^{0}$$

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

$$7\times 1$$

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

$$7$$