Solve 1/3text{of}105m

$$\frac { 1 } { 3 } \text { of } 105 m$$

Evaluate

$$35m$$

Solution Steps

Multiply \frac{1}{3} and 105 to get \frac{105}{3}.

$$\frac{105}{3}m$$

Divide 105 by 3 to get 35.

$$35m$$

Differentiate w.r.t. m

$$35$$

Steps Using Definition of a Derivative

Multiply \frac{1}{3} and 105 to get \frac{105}{3}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{105}{3}m)$$

Divide 105 by 3 to get 35.

$$\frac{\mathrm{d}}{\mathrm{d}m}(35m)$$

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

$$35m^{1-1}$$

Subtract 1 from 1.

$$35m^{0}$$

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

$$35\times 1$$

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

$$35$$