Solve 45m*320*13600

$$45 m \times 320 \times 13600$$

Evaluate

$$195840000m$$

Solution Steps

Multiply 45 and 320 to get 14400.

$$14400m\times 13600$$

Multiply 14400 and 13600 to get 195840000.

$$195840000m$$

Differentiate w.r.t. m

$$195840000$$

Steps Using Definition of a Derivative

Multiply 45 and 320 to get 14400.

$$\frac{\mathrm{d}}{\mathrm{d}m}(14400m\times 13600)$$

Multiply 14400 and 13600 to get 195840000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(195840000m)$$

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

$$195840000m^{1-1}$$

Subtract 1 from 1.

$$195840000m^{0}$$

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

$$195840000\times 1$$

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

$$195840000$$