Solve 2x/-1*1/2

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

Evaluate

$$-x$$

Solution Steps

Anything divided by -1 gives its opposite.

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

Multiply -2 times \frac{1}{2}.

$$-x$$

Differentiate w.r.t. x

$$-1$$

Steps Using Definition of a Derivative

Anything divided by -1 gives its opposite.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x\times \frac{1}{2})$$

Multiply -2 times \frac{1}{2}.

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

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.

$$-1$$