Solve m*2m^2

$$m \cdot 2 m ^ { 2 }$$

Differentiate w.r.t. m

$$6m^{2}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

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

$$3\times 2m^{3-1}$$

Multiply 3 times 2.

$$6m^{3-1}$$

Subtract 1 from 3.

$$6m^{2}$$

Evaluate

$$2m^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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