Solve m*1m*100^0

$$m \cdot 1 m \cdot 100 ^ { 0 }$$

Evaluate

$$m^{2}$$

Solution Steps

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

$$m^{2}\times 1\times 100^{0}$$

Calculate 100 to the power of 0 and get 1.

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

Multiply 1 and 1 to get 1.

$$m^{2}$$

Differentiate w.r.t. m

$$2m$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(m^{2}\times 1\times 100^{0})$$

Calculate 100 to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(m^{2}\times 1\times 1)$$

Multiply 1 and 1 to get 1.

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

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

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

Subtract 1 from 2.

$$2m^{1}$$

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

$$2m$$