Solve 20/100x/1

$$\frac { 20 } { 100 } \frac { x } { 1 }$$

Evaluate

$$\frac{x}{5}$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}\times \frac{x}{1}$$

Anything divided by one gives itself.

$$\frac{1}{5}x$$

Differentiate w.r.t. x

$$\frac{1}{5} = 0.2$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{5}\times \frac{x}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{5}x)$$

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

$$\frac{1}{5}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{5}x^{0}$$

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

$$\frac{1}{5}\times 1$$

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

$$\frac{1}{5}$$