Solve 40,6m*1000*0,1

$$40,6 m \cdot 1000 \cdot 0,1$$

Evaluate

$$4060m$$

Solution Steps

Multiply 40,6 and 1000 to get 40600.

$$40600m\times 0,1$$

Multiply 40600 and 0,1 to get 4060.

$$4060m$$

Differentiate w.r.t. m

$$4060$$

Steps Using Definition of a Derivative

Multiply 40,6 and 1000 to get 40600.

$$\frac{\mathrm{d}}{\mathrm{d}m}(40600m\times 0,1)$$

Multiply 40600 and 0,1 to get 4060.

$$\frac{\mathrm{d}}{\mathrm{d}m}(4060m)$$

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

$$4060m^{1-1}$$

Subtract 1 from 1.

$$4060m^{0}$$

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

$$4060\times 1$$

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

$$4060$$