Solve -1+8n+-3-n+4

$$- 1 + 8 n + - 3 - n + 4$$

Evaluate

$$7n$$

Solution Steps

Subtract 3 from -1 to get -4.

$$-4+8n-n+4$$

Combine 8n and -n to get 7n.

$$-4+7n+4$$

Add -4 and 4 to get 0.

$$7n$$

Differentiate w.r.t. n

$$7$$

Steps Using Definition of a Derivative

Subtract 3 from -1 to get -4.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-4+8n-n+4)$$

Combine 8n and -n to get 7n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-4+7n+4)$$

Add -4 and 4 to get 0.

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

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

$$7n^{1-1}$$

Subtract 1 from 1.

$$7n^{0}$$

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

$$7\times 1$$

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

$$7$$