Solve m/2+m/25/1

$$\frac { \frac { m } { 2 } + \frac { m } { 25 } } { 1 }$$

Evaluate

$$\frac{27m}{50}$$

Solution Steps

Combine \frac{m}{2} and \frac{m}{25} to get \frac{27}{50}m.

$$\frac{\frac{27}{50}m}{1}$$

Anything divided by one gives itself.

$$\frac{27}{50}m$$

Differentiate w.r.t. m

$$\frac{27}{50} = 0.54$$

Steps Using Definition of a Derivative

Combine \frac{m}{2} and \frac{m}{25} to get \frac{27}{50}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{\frac{27}{50}m}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{27}{50}m)$$

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

$$\frac{27}{50}m^{1-1}$$

Subtract 1 from 1.

$$\frac{27}{50}m^{0}$$

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

$$\frac{27}{50}\times 1$$

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

$$\frac{27}{50}$$