Solve x*.2%

$$x \times .2 \%$$

Evaluate

$$\frac{x}{500}$$

Solution Steps

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$x\times \frac{2}{1000}$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$x\times \frac{1}{500}$$

Differentiate w.r.t. x

$$0.002$$

Steps Using Definition of a Derivative

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

$$0.002x^{1-1}$$

Subtract 1 from 1.

$$0.002x^{0}$$

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

$$0.002\times 1$$

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

$$0.002$$