Solve 125*5*45*75m^2

$$125 \times 5 \times 45 \times 75 m ^ { 2 }$$

Evaluate

$$2109375m^{2}$$

Solution Steps

Multiply 125 and 5 to get 625.

$$625\times 45\times 75m^{2}$$

Multiply 625 and 45 to get 28125.

$$28125\times 75m^{2}$$

Multiply 28125 and 75 to get 2109375.

$$2109375m^{2}$$

Differentiate w.r.t. m

$$4218750m$$

Steps Using Definition of a Derivative

Multiply 125 and 5 to get 625.

$$\frac{\mathrm{d}}{\mathrm{d}m}(625\times 45\times 75m^{2})$$

Multiply 625 and 45 to get 28125.

$$\frac{\mathrm{d}}{\mathrm{d}m}(28125\times 75m^{2})$$

Multiply 28125 and 75 to get 2109375.

$$\frac{\mathrm{d}}{\mathrm{d}m}(2109375m^{2})$$

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

$$2\times 2109375m^{2-1}$$

Multiply 2 times 2109375.

$$4218750m^{2-1}$$

Subtract 1 from 2.

$$4218750m^{1}$$

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

$$4218750m$$