Solve 11/4*4*10m/2

$$\frac { 11 } { 4 } \cdot 4 \cdot 10 \frac { m } { 2 }$$

Evaluate

$$55m$$

Solution Steps

Cancel out 4 and 4.

$$11\times 10\times \frac{m}{2}$$

Multiply 11 and 10 to get 110.

$$110\times \frac{m}{2}$$

Cancel out 2, the greatest common factor in 110 and 2.

$$55m$$

Differentiate w.r.t. m

$$55$$

Steps Using Definition of a Derivative

Cancel out 4 and 4.

$$\frac{\mathrm{d}}{\mathrm{d}m}(11\times 10\times \frac{m}{2})$$

Multiply 11 and 10 to get 110.

$$\frac{\mathrm{d}}{\mathrm{d}m}(110\times \frac{m}{2})$$

Cancel out 2, the greatest common factor in 110 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}m}(55m)$$

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

$$55m^{1-1}$$

Subtract 1 from 1.

$$55m^{0}$$

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

$$55\times 1$$

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

$$55$$