Solve 8u+2u-3u

$$8 u + 2 u - 3 u$$

Evaluate

$$7u$$

Solution Steps

Combine 8u and 2u to get 10u.

$$10u-3u$$

Combine 10u and -3u to get 7u.

$$7u$$

Differentiate w.r.t. u

$$7$$

Steps Using Definition of a Derivative

Combine 8u and 2u to get 10u.

$$\frac{\mathrm{d}}{\mathrm{d}u}(10u-3u)$$

Combine 10u and -3u to get 7u.

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

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

$$7u^{1-1}$$

Subtract 1 from 1.

$$7u^{0}$$

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

$$7\times 1$$

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

$$7$$