Solve 9m^2+11m^2+2m^2

$$9 m ^ { 2 } + 11 m ^ { 2 } + 2 m ^ { 2 }$$

Evaluate

$$22m^{2}$$

Solution Steps

Combine 9m^{2} and 11m^{2} to get 20m^{2}.

$$20m^{2}+2m^{2}$$

Combine 20m^{2} and 2m^{2} to get 22m^{2}.

$$22m^{2}$$

Differentiate w.r.t. m

$$44m$$

Steps Using Definition of a Derivative

Combine 9m^{2} and 11m^{2} to get 20m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(20m^{2}+2m^{2})$$

Combine 20m^{2} and 2m^{2} to get 22m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(22m^{2})$$

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

$$2\times 22m^{2-1}$$

Multiply 2 times 22.

$$44m^{2-1}$$

Subtract 1 from 2.

$$44m^{1}$$

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

$$44m$$