Solve m-7m+4m-1

$$m - 7 m + 4 m - 1$$

Evaluate

$$-2m-1$$

Solution Steps

Combine m and -7m to get -6m.

$$-6m+4m-1$$

Combine -6m and 4m to get -2m.

$$-2m-1$$

Differentiate w.r.t. m

$$-2$$

Steps Using Derivative Rule for Sum

Combine m and -7m to get -6m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6m+4m-1)$$

Combine -6m and 4m to get -2m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-2m-1)$$

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}.

$$-2m^{1-1}$$

Subtract 1 from 1.

$$-2m^{0}$$

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

$$-2$$