Solve -5w+10w+11w

$$- 5 w + 10 w + 11 w$$

Evaluate

$$16w$$

Solution Steps

Combine -5w and 10w to get 5w.

$$5w+11w$$

Combine 5w and 11w to get 16w.

$$16w$$

Differentiate w.r.t. w

$$16$$

Steps Using Definition of a Derivative

Combine -5w and 10w to get 5w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(5w+11w)$$

Combine 5w and 11w to get 16w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(16w)$$

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

$$16w^{1-1}$$

Subtract 1 from 1.

$$16w^{0}$$

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

$$16\times 1$$

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

$$16$$