Solve 3x+5+4x^2

$$3x+5+4 { x }^{ 2 }$$

Differentiate w.r.t. x

$$8x+3$$

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}.

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

Subtract 1 from 1.

$$3x^{0}+2\times 4x^{2-1}$$

Multiply 2 times 4.

$$3x^{0}+8x^{2-1}$$

Subtract 1 from 2.

$$3x^{0}+8x^{1}$$

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

$$3x^{0}+8x$$

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

$$3\times 1+8x$$

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

$$3+8x$$

Evaluate

$$4x^{2}+3x+5$$