Solve -1/3x*-2=

$$- \frac{ 1 }{ 3 } x \times -2=$$

Evaluate

$$\frac{2x}{3}$$

Solution Steps

Express -\frac{1}{3}\left(-2\right) as a single fraction.

$$\frac{-\left(-2\right)}{3}x$$

Multiply -1 and -2 to get 2.

$$\frac{2}{3}x$$

Differentiate w.r.t. x

$$\frac{2}{3} = 0.6666666666666666$$

Steps Using Definition of a Derivative

Express -\frac{1}{3}\left(-2\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-\left(-2\right)}{3}x)$$

Multiply -1 and -2 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{3}x)$$

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

$$\frac{2}{3}x^{1-1}$$

Subtract 1 from 1.

$$\frac{2}{3}x^{0}$$

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

$$\frac{2}{3}\times 1$$

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

$$\frac{2}{3}$$