Solve 4m^2*4m

$$4 m ^ { 2 } \cdot 4 m$$

Evaluate

$$16m^{3}$$

Solution Steps

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

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

Multiply 4 and 4 to get 16.

$$16m^{3}$$

Differentiate w.r.t. m

$$48m^{2}$$

Steps Using Definition of a Derivative

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

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

Multiply 4 and 4 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}m}(16m^{3})$$

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

$$3\times 16m^{3-1}$$

Multiply 3 times 16.

$$48m^{3-1}$$

Subtract 1 from 3.

$$48m^{2}$$