Solve x^2-18x^2+81

$${ x }^{ 2 } -18 { x }^{ 2 } +81$$

Differentiate w.r.t. x

$$-34x$$

Steps Using Derivative Rule for Sum

Combine x^{2} and -18x^{2} to get -17x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-17x^{2}+81)$$

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}.

$$2\left(-17\right)x^{2-1}$$

Multiply 2 times -17.

$$-34x^{2-1}$$

Subtract 1 from 2.

$$-34x^{1}$$

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

$$-34x$$

Evaluate

$$81-17x^{2}$$

Solution Steps

Combine x^{2} and -18x^{2} to get -17x^{2}.

$$-17x^{2}+81$$