Solve 7,2-m-n-8,9-1,1+m=

$$7,2 - m - n - 8,9 - 1,1 + m =$$

Evaluate

$$-n-2,8$$

Solution Steps

Subtract 8,9 from 7,2 to get -1,7.

$$-1,7-m-n-1,1+m$$

Subtract 1,1 from -1,7 to get -2,8.

$$-2,8-m-n+m$$

Combine -m and m to get 0.

$$-2,8-n$$

Differentiate w.r.t. n

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 8,9 from 7,2 to get -1,7.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-1,7-m-n-1,1+m)$$

Subtract 1,1 from -1,7 to get -2,8.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-2,8-m-n+m)$$

Combine -m and m to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-2,8-n)$$

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}.

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

Subtract 1 from 1.

$$-n^{0}$$

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

$$-1$$