Solve 10*3mm

$$10 \times 3 mm$$

Evaluate

$$30m^{2}$$

Solution Steps

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

$$10\times 3m^{2}$$

Multiply 10 and 3 to get 30.

$$30m^{2}$$

Differentiate w.r.t. m

$$60m$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(10\times 3m^{2})$$

Multiply 10 and 3 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}m}(30m^{2})$$

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

$$2\times 30m^{2-1}$$

Multiply 2 times 30.

$$60m^{2-1}$$

Subtract 1 from 2.

$$60m^{1}$$

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

$$60m$$