Solve x(-40)*(+2)div(-1000)

$$x ( - 40 ) \times ( + 2 ) \div ( - 1000 )$$

Evaluate

$$\frac{2x}{25}$$

Solution Steps

Multiply -40 and 2 to get -80.

$$\frac{x\left(-80\right)}{-1000}$$

Divide x\left(-80\right) by -1000 to get x\times \frac{2}{25}.

$$x\times \frac{2}{25}$$

Differentiate w.r.t. x

$$\frac{2}{25} = 0.08$$

Steps Using Definition of a Derivative

Multiply -40 and 2 to get -80.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\left(-80\right)}{-1000})$$

Divide x\left(-80\right) by -1000 to get x\times \frac{2}{25}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{2}{25})$$

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

$$\frac{2}{25}x^{1-1}$$

Subtract 1 from 1.

$$\frac{2}{25}x^{0}$$

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

$$\frac{2}{25}\times 1$$

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

$$\frac{2}{25}$$