Solve 3m*4m*80

$$3 m \cdot 4 m \cdot 80$$

Evaluate

$$960m^{2}$$

Solution Steps

Multiply m and m to get m^{2}.

$$3m^{2}\times 4\times 80$$

Multiply 3 and 4 to get 12.

$$12m^{2}\times 80$$

Multiply 12 and 80 to get 960.

$$960m^{2}$$

Differentiate w.r.t. m

$$1920m$$

Steps Using Definition of a Derivative

Multiply m and m to get m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(3m^{2}\times 4\times 80)$$

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}m}(12m^{2}\times 80)$$

Multiply 12 and 80 to get 960.

$$\frac{\mathrm{d}}{\mathrm{d}m}(960m^{2})$$

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

$$2\times 960m^{2-1}$$

Multiply 2 times 960.

$$1920m^{2-1}$$

Subtract 1 from 2.

$$1920m^{1}$$

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

$$1920m$$