Solve -1+9+-1+3n-3

$$- 1 + 9 + - 1 + 3 n - 3$$

Evaluate

$$3n+4$$

Solution Steps

Add -1 and 9 to get 8.

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

Subtract 1 from 8 to get 7.

$$7+3n-3$$

Subtract 3 from 7 to get 4.

$$4+3n$$

Differentiate w.r.t. n

$$3$$

Steps Using Derivative Rule for Sum

Add -1 and 9 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}n}(8-1+3n-3)$$

Subtract 1 from 8 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}n}(7+3n-3)$$

Subtract 3 from 7 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}n}(4+3n)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$3n^{1-1}$$

Subtract 1 from 1.

$$3n^{0}$$

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

$$3\times 1$$

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

$$3$$