Solve 0,1*0,25m*2=

$$0,1 \cdot 0,25 m \cdot 2 =$$

Evaluate

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

Solution Steps

Multiply 0,1 and 0,25 to get 0,025.

$$0,025m\times 2$$

Multiply 0,025 and 2 to get 0,05.

$$0,05m$$

Differentiate w.r.t. m

$$0,05$$

Steps Using Definition of a Derivative

Multiply 0,1 and 0,25 to get 0,025.

$$\frac{\mathrm{d}}{\mathrm{d}m}(0,025m\times 2)$$

Multiply 0,025 and 2 to get 0,05.

$$\frac{\mathrm{d}}{\mathrm{d}m}(0,05m)$$

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

$$0,05m^{1-1}$$

Subtract 1 from 1.

$$0,05m^{0}$$

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

$$0,05\times 1$$

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

$$0,05$$