Solve 2m+1m+9m+11m=

$$2 m + 1 m + 9 m + 11 m =$$

Evaluate

$$23m$$

Solution Steps

Combine 2m and 1m to get 3m.

$$3m+9m+11m$$

Combine 3m and 9m to get 12m.

$$12m+11m$$

Combine 12m and 11m to get 23m.

$$23m$$

Differentiate w.r.t. m

$$23$$

Steps Using Definition of a Derivative

Combine 2m and 1m to get 3m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(3m+9m+11m)$$

Combine 3m and 9m to get 12m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(12m+11m)$$

Combine 12m and 11m to get 23m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(23m)$$

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

$$23m^{1-1}$$

Subtract 1 from 1.

$$23m^{0}$$

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

$$23\times 1$$

For any term t, t\times 1=t and 1t=t.

$$23$$