Solve -39x^3-368x^2+1168x+300

$$-39 { x }^{ 3 } -368 { x }^{ 2 } +1168x+300$$

Differentiate w.r.t. x

$$1168-736x-117x^{2}$$

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}.

$$3\left(-39\right)x^{3-1}+2\left(-368\right)x^{2-1}+1168x^{1-1}$$

Multiply 3 times -39.

$$-117x^{3-1}+2\left(-368\right)x^{2-1}+1168x^{1-1}$$

Subtract 1 from 3.

$$-117x^{2}+2\left(-368\right)x^{2-1}+1168x^{1-1}$$

Multiply 2 times -368.

$$-117x^{2}-736x^{2-1}+1168x^{1-1}$$

Subtract 1 from 2.

$$-117x^{2}-736x^{1}+1168x^{1-1}$$

Subtract 1 from 1.

$$-117x^{2}-736x^{1}+1168x^{0}$$

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

$$-117x^{2}-736x+1168x^{0}$$

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

$$-117x^{2}-736x+1168\times 1$$

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

$$-117x^{2}-736x+1168$$

Evaluate

$$300+1168x-368x^{2}-39x^{3}$$