Solve 3+7m-8-1-9m-2m-m+2-2-5

$$3 + 7 m - 8 - 1 - 9 m - 2 m - m + 2 - 2 - 5$$

Evaluate

$$-5m-11$$

Solution Steps

Subtract 8 from 3 to get -5.

$$-5+7m-1-9m-2m-m+2-2-5$$

Subtract 1 from -5 to get -6.

$$-6+7m-9m-2m-m+2-2-5$$

Combine 7m and -9m to get -2m.

$$-6-2m-2m-m+2-2-5$$

Combine -2m and -2m to get -4m.

$$-6-4m-m+2-2-5$$

Combine -4m and -m to get -5m.

$$-6-5m+2-2-5$$

Add -6 and 2 to get -4.

$$-4-5m-2-5$$

Subtract 2 from -4 to get -6.

$$-6-5m-5$$

Subtract 5 from -6 to get -11.

$$-11-5m$$

Differentiate w.r.t. m

$$-5$$

Steps Using Derivative Rule for Sum

Subtract 8 from 3 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-5+7m-1-9m-2m-m+2-2-5)$$

Subtract 1 from -5 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6+7m-9m-2m-m+2-2-5)$$

Combine 7m and -9m to get -2m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6-2m-2m-m+2-2-5)$$

Combine -2m and -2m to get -4m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6-4m-m+2-2-5)$$

Combine -4m and -m to get -5m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6-5m+2-2-5)$$

Add -6 and 2 to get -4.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-4-5m-2-5)$$

Subtract 2 from -4 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6-5m-5)$$

Subtract 5 from -6 to get -11.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-11-5m)$$

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}.

$$-5m^{1-1}$$

Subtract 1 from 1.

$$-5m^{0}$$

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

$$-5$$