Solve -2/4x-2/4x

$$- \frac { 2 } { 4 } x - \frac { 2 } { 4 } x$$

Evaluate

$$-x$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}x-\frac{2}{4}x$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Combine -\frac{1}{2}x and -\frac{1}{2}x to get -x.

$$-x$$

Differentiate w.r.t. x

$$-1$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{2}x-\frac{2}{4}x)$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Combine -\frac{1}{2}x and -\frac{1}{2}x to get -x.

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

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.

$$-1$$