Solve x/4*1/5=

$$\frac { x } { 4 } \times \frac { 1 } { 5 } =$$

Evaluate

$$\frac{x}{20}$$

Solution Steps

Multiply \frac{x}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{x}{20}$$

Differentiate w.r.t. x

$$\frac{1}{20} = 0.05$$

Steps Using Definition of a Derivative

Multiply \frac{x}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{4\times 5})$$

Multiply 4 and 5 to get 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{20})$$

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

$$\frac{1}{20}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{20}x^{0}$$

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

$$\frac{1}{20}\times 1$$

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

$$\frac{1}{20}$$