Solve 145m/20=

$$145 \frac { m } { 20 } =$$

Evaluate

$$\frac{29m}{4}$$

Solution Steps

Express 145\times \frac{m}{20} as a single fraction.

$$\frac{145m}{20}$$

Divide 145m by 20 to get \frac{29}{4}m.

$$\frac{29}{4}m$$

Differentiate w.r.t. m

$$\frac{29}{4} = 7\frac{1}{4} = 7.25$$

Steps Using Definition of a Derivative

Express 145\times \frac{m}{20} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{145m}{20})$$

Divide 145m by 20 to get \frac{29}{4}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{29}{4}m)$$

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

$$\frac{29}{4}m^{1-1}$$

Subtract 1 from 1.

$$\frac{29}{4}m^{0}$$

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

$$\frac{29}{4}\times 1$$

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

$$\frac{29}{4}$$