Solve m^2-2m^2-7m^2=

$$m ^ { 2 } - 2 m ^ { 2 } - 7 m ^ { 2 } =$$

Evaluate

$$-8m^{2}$$

Solution Steps

Combine m^{2} and -2m^{2} to get -m^{2}.

$$-m^{2}-7m^{2}$$

Combine -m^{2} and -7m^{2} to get -8m^{2}.

$$-8m^{2}$$

Differentiate w.r.t. m

$$-16m$$

Steps Using Definition of a Derivative

Combine m^{2} and -2m^{2} to get -m^{2}.

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

Combine -m^{2} and -7m^{2} to get -8m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-8m^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\left(-8\right)m^{2-1}$$

Multiply 2 times -8.

$$-16m^{2-1}$$

Subtract 1 from 2.

$$-16m^{1}$$

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

$$-16m$$