Solve d/dxleft(7x^2+57x+4right)

$$\frac{d}{d x } \left(7 { x }^{ 2 } +57x+4 \right)$$

Evaluate

$$14x+57$$

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}.

$$2\times 7x^{2-1}+57x^{1-1}$$

Multiply 2 times 7.

$$14x^{2-1}+57x^{1-1}$$

Subtract 1 from 2.

$$14x^{1}+57x^{1-1}$$

Subtract 1 from 1.

$$14x^{1}+57x^{0}$$

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

$$14x+57x^{0}$$

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

$$14x+57\times 1$$

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

$$14x+57$$

Differentiate w.r.t. x

$$14$$