Solve -1/6x-x

$$- \frac { 1 } { 6 } x - x$$

Differentiate w.r.t. x

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$

Steps Using Definition of a Derivative

Combine -\frac{1}{6}x and -x to get -\frac{7}{6}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{7}{6}x)$$

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

$$-\frac{7}{6}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{7}{6}x^{0}$$

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

$$-\frac{7}{6}$$

Evaluate

$$-\frac{7x}{6}$$

Solution Steps

Combine -\frac{1}{6}x and -x to get -\frac{7}{6}x.

$$-\frac{7}{6}x$$