Solve 6n+2n+n

$$6 n + 2 n + n$$

Evaluate

$$9n$$

Solution Steps

Combine 6n and 2n to get 8n.

$$8n+n$$

Combine 8n and n to get 9n.

$$9n$$

Differentiate w.r.t. n

$$9$$

Steps Using Definition of a Derivative

Combine 6n and 2n to get 8n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(8n+n)$$

Combine 8n and n to get 9n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(9n)$$

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

$$9n^{1-1}$$

Subtract 1 from 1.

$$9n^{0}$$

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

$$9\times 1$$

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

$$9$$