Solve -3a^3+4a^2+2a-2020

$$- 3 a ^ { 3 } + 4 a ^ { 2 } + 2 a - 2020$$

Differentiate w.r.t. a

$$2+8a-9a^{2}$$

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}.

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

Multiply 3 times -3.

$$-9a^{3-1}+2\times 4a^{2-1}+2a^{1-1}$$

Subtract 1 from 3.

$$-9a^{2}+2\times 4a^{2-1}+2a^{1-1}$$

Multiply 2 times 4.

$$-9a^{2}+8a^{2-1}+2a^{1-1}$$

Subtract 1 from 2.

$$-9a^{2}+8a^{1}+2a^{1-1}$$

Subtract 1 from 1.

$$-9a^{2}+8a^{1}+2a^{0}$$

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

$$-9a^{2}+8a+2a^{0}$$

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

$$-9a^{2}+8a+2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$-9a^{2}+8a+2$$

Evaluate

$$-3a^{3}+4a^{2}+2a-2020$$