Solve 003x-x

$$003 x - x$$

Evaluate

$$-x$$

Solution Steps

Multiply 0 and 0 to get 0.

$$0\times 3x-x$$

Multiply 0 and 3 to get 0.

$$0x-x$$

Anything times zero gives zero.

$$0-x$$

Anything plus zero gives itself.

$$-x$$

Differentiate w.r.t. x

$$-1$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0\times 3x-x)$$

Multiply 0 and 3 to get 0.

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

Anything times zero gives zero.

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

Anything plus zero gives itself.

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

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

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

Subtract 1 from 1.

$$-x^{0}$$

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

$$-1$$