Solve -1/2x-2x

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

Evaluate

$$-\frac{5x}{2}$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Combine -\frac{1}{2}x and -2x to get -\frac{5}{2}x.

$$-\frac{5}{2}x$$

Differentiate w.r.t. x

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps Using Definition of a Derivative

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Combine -\frac{1}{2}x and -2x to get -\frac{5}{2}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{5}{2}x)$$

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

$$-\frac{5}{2}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{5}{2}x^{0}$$

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

$$-\frac{5}{2}$$