Solve a^3-a^2-3a+2019

$$a ^ { 3 } - a ^ { 2 } - 3 a + 2019$$

Differentiate w.r.t. a

$$3a^{2}-2a-3$$

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}.

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

Subtract 1 from 3.

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

Multiply 2 times -1.

$$3a^{2}-2a^{2-1}-3a^{1-1}$$

Subtract 1 from 2.

$$3a^{2}-2a^{1}-3a^{1-1}$$

Subtract 1 from 1.

$$3a^{2}-2a^{1}-3a^{0}$$

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

$$3a^{2}-2a-3a^{0}$$

For any term t except 0, t^{0}=1.

$$3a^{2}-2a-3$$

Evaluate

$$a^{3}-a^{2}-3a+2019$$