Solve -9*(-2/3)x

$$-9 \times (- \frac{ 2 }{ 3 } )x$$

Evaluate

$$6x$$

Solution Steps

Express -9\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{-9\left(-2\right)}{3}x$$

Multiply -9 and -2 to get 18.

$$\frac{18}{3}x$$

Divide 18 by 3 to get 6.

$$6x$$

Differentiate w.r.t. x

$$6$$

Steps Using Definition of a Derivative

Express -9\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-9\left(-2\right)}{3}x)$$

Multiply -9 and -2 to get 18.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{18}{3}x)$$

Divide 18 by 3 to get 6.

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

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

$$6x^{1-1}$$

Subtract 1 from 1.

$$6x^{0}$$

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

$$6\times 1$$

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

$$6$$