Solve 2(5/2w)+w

$$2 ( \frac { 5 } { 2 } w ) + w$$

Evaluate

$$6w$$

Solution Steps

Cancel out 2 and 2.

$$5w+w$$

Combine 5w and w to get 6w.

$$6w$$

Differentiate w.r.t. w

$$6$$

Steps Using Definition of a Derivative

Cancel out 2 and 2.

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

Combine 5w and w to get 6w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(6w)$$

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

$$6w^{1-1}$$

Subtract 1 from 1.

$$6w^{0}$$

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

$$6\times 1$$

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

$$6$$