Solve -4-7m-3+2m

$$- 4 - 7 m - 3 + 2 m$$

Evaluate

$$-5m-7$$

Solution Steps

Subtract 3 from -4 to get -7.

$$-7-7m+2m$$

Combine -7m and 2m to get -5m.

$$-7-5m$$

Differentiate w.r.t. m

$$-5$$

Steps Using Derivative Rule for Sum

Subtract 3 from -4 to get -7.

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

Combine -7m and 2m to get -5m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-7-5m)$$

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.

$$-5$$