Solve 45m^2-20m^2

$$45 m ^ { 2 } - 20 m ^ { 2 }$$

Differentiate w.r.t. m

$$50m$$

Steps Using Definition of a Derivative

Combine 45m^{2} and -20m^{2} to get 25m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(25m^{2})$$

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

$$2\times 25m^{2-1}$$

Multiply 2 times 25.

$$50m^{2-1}$$

Subtract 1 from 2.

$$50m^{1}$$

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

$$50m$$

Evaluate

$$25m^{2}$$

Solution Steps

Combine 45m^{2} and -20m^{2} to get 25m^{2}.

$$25m^{2}$$