Solve -1/2x*-2

$$- \frac { 1 } { 2 } x \cdot - 2$$

Evaluate

$$x$$

Solution Steps

Express -\frac{1}{2}\left(-2\right) as a single fraction.

$$\frac{-\left(-2\right)}{2}x$$

Multiply -1 and -2 to get 2.

$$\frac{2}{2}x$$

Divide 2 by 2 to get 1.

$$1x$$

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

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Express -\frac{1}{2}\left(-2\right) as a single fraction.

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

Multiply -1 and -2 to get 2.

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

Divide 2 by 2 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x)$$

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.

$$1$$