Solve 2a^2+7a+7

$$2 { a }^{ 2 } +7a+7$$

Differentiate w.r.t. a

$$4a+7$$

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}.

$$2\times 2a^{2-1}+7a^{1-1}$$

Multiply 2 times 2.

$$4a^{2-1}+7a^{1-1}$$

Subtract 1 from 2.

$$4a^{1}+7a^{1-1}$$

Subtract 1 from 1.

$$4a^{1}+7a^{0}$$

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

$$4a+7a^{0}$$

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

$$4a+7\times 1$$

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

$$4a+7$$

Evaluate

$$2a^{2}+7a+7$$