Solve 10m^2+9m^2

$$10 { m }^{ 2 } +9 { m }^{ 2 }$$

Differentiate w.r.t. m

$$38m$$

Steps Using Definition of a Derivative

Combine 10m^{2} and 9m^{2} to get 19m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(19m^{2})$$

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

$$2\times 19m^{2-1}$$

Multiply 2 times 19.

$$38m^{2-1}$$

Subtract 1 from 2.

$$38m^{1}$$

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

$$38m$$

Evaluate

$$19m^{2}$$

Solution Steps

Combine 10m^{2} and 9m^{2} to get 19m^{2}.

$$19m^{2}$$