Solve {r}{-43x+7x^2}{+350}

$$\left. \begin{array} { r } { - 43 x + 7 x ^ { 2 } } \\ { + 350 } \end{array} \right.$$

Differentiate w.r.t. x

$$14x-43$$

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}.

$$-43x^{1-1}+2\times 7x^{2-1}$$

Subtract 1 from 1.

$$-43x^{0}+2\times 7x^{2-1}$$

Multiply 2 times 7.

$$-43x^{0}+14x^{2-1}$$

Subtract 1 from 2.

$$-43x^{0}+14x^{1}$$

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

$$-43x^{0}+14x$$

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

$$-43+14x$$

Evaluate

$$7x^{2}-43x+350$$