Solve -3/5m+1/4m-1/2m

$$- \frac { 3 } { 5 } m + \frac { 1 } { 4 } m - \frac { 1 } { 2 } m$$

Evaluate

$$-\frac{17m}{20}$$

Solution Steps

Combine -\frac{3}{5}m and \frac{1}{4}m to get -\frac{7}{20}m.

$$-\frac{7}{20}m-\frac{1}{2}m$$

Combine -\frac{7}{20}m and -\frac{1}{2}m to get -\frac{17}{20}m.

$$-\frac{17}{20}m$$

Differentiate w.r.t. m

$$-\frac{17}{20} = -0.85$$

Steps Using Definition of a Derivative

Combine -\frac{3}{5}m and \frac{1}{4}m to get -\frac{7}{20}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-\frac{7}{20}m-\frac{1}{2}m)$$

Combine -\frac{7}{20}m and -\frac{1}{2}m to get -\frac{17}{20}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-\frac{17}{20}m)$$

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

$$-\frac{17}{20}m^{1-1}$$

Subtract 1 from 1.

$$-\frac{17}{20}m^{0}$$

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

$$-\frac{17}{20}$$