Solve 5/frac{5{x}}

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

Evaluate

$$x$$

Solution Steps

Divide 5 by \frac{5}{x} by multiplying 5 by the reciprocal of \frac{5}{x}.

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

Cancel out 5 and 5.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Divide 5 by \frac{5}{x} by multiplying 5 by the reciprocal of \frac{5}{x}.

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

Cancel out 5 and 5.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$