Solve (2x^2+4x+5)^prime

$$( 2 x ^ { 2 } + 4 x + 5 ) ^ { \prime }$$

Evaluate

$$4\left(x+1\right)$$

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}.

$$2\times 2x^{2-1}+4x^{1-1}$$

Multiply 2 times 2.

$$4x^{2-1}+4x^{1-1}$$

Subtract 1 from 2.

$$4x^{1}+4x^{1-1}$$

Subtract 1 from 1.

$$4x^{1}+4x^{0}$$

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

$$4x+4x^{0}$$

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

$$4x+4\times 1$$

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

$$4x+4$$

Differentiate w.r.t. x

$$4$$