Solve 4m^3-2m^2-3

$$4 m ^ { 3 } - 2 m ^ { 2 } - 3$$

Differentiate w.r.t. m

$$4m\left(3m-1\right)$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$3\times 4m^{3-1}+2\left(-2\right)m^{2-1}$$

Multiply 3 times 4.

$$12m^{3-1}+2\left(-2\right)m^{2-1}$$

Subtract 1 from 3.

$$12m^{2}+2\left(-2\right)m^{2-1}$$

Multiply 2 times -2.

$$12m^{2}-4m^{2-1}$$

Subtract 1 from 2.

$$12m^{2}-4m^{1}$$

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

$$12m^{2}-4m$$

Evaluate

$$4m^{3}-2m^{2}-3$$