Solve 009-x^2

$$009 - x ^ { 2 }$$

Evaluate

$$-x^{2}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$0\times 9-x^{2}$$

Multiply 0 and 9 to get 0.

$$0-x^{2}$$

Anything plus zero gives itself.

$$-x^{2}$$

Differentiate w.r.t. x

$$-2x$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0\times 9-x^{2})$$

Multiply 0 and 9 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0-x^{2})$$

Anything plus zero gives itself.

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

The derivative of ax^{n} is nax^{n-1}.

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

Multiply 2 times -1.

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

Subtract 1 from 2.

$$-2x^{1}$$

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

$$-2x$$