Solve 5/12m+2m

$$\frac { 5 } { 12 } m + 2 m$$

Differentiate w.r.t. m

$$\frac{29}{12} = 2\frac{5}{12} = 2.4166666666666665$$

Steps Using Definition of a Derivative

Combine \frac{5}{12}m and 2m to get \frac{29}{12}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{29}{12}m)$$

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

$$\frac{29}{12}m^{1-1}$$

Subtract 1 from 1.

$$\frac{29}{12}m^{0}$$

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

$$\frac{29}{12}\times 1$$

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

$$\frac{29}{12}$$

Evaluate

$$\frac{29m}{12}$$

Solution Steps

Combine \frac{5}{12}m and 2m to get \frac{29}{12}m.

$$\frac{29}{12}m$$