Solve 9m+2,3m+1/5m=

$$9 m + 2,3 m + \frac { 1 } { 5 } m =$$

Evaluate

$$\frac{23m}{2}$$

Solution Steps

Combine 9m and 2,3m to get 11,3m.

$$11,3m+\frac{1}{5}m$$

Combine 11,3m and \frac{1}{5}m to get \frac{23}{2}m.

$$\frac{23}{2}m$$

Differentiate w.r.t. m

$$11,5$$

Steps Using Definition of a Derivative

Combine 9m and 2,3m to get 11,3m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(11,3m+\frac{1}{5}m)$$

Combine 11,3m and \frac{1}{5}m to get \frac{23}{2}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{23}{2}m)$$

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

$$\frac{23}{2}m^{1-1}$$

Subtract 1 from 1.

$$\frac{23}{2}m^{0}$$

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

$$\frac{23}{2}\times 1$$

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

$$\frac{23}{2}$$