Solve k/(k/s)

$$\frac { k } { ( k / s ) }$$

Evaluate

$$s$$

Solution Steps

Divide k by \frac{k}{s} by multiplying k by the reciprocal of \frac{k}{s}.

$$\frac{ks}{k}$$

Cancel out k in both numerator and denominator.

$$s$$

Differentiate w.r.t. s

$$1$$

Steps Using Definition of a Derivative

Divide k by \frac{k}{s} by multiplying k by the reciprocal of \frac{k}{s}.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{ks}{k})$$

Cancel out k in both numerator and denominator.

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

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

$$s^{1-1}$$

Subtract 1 from 1.

$$s^{0}$$

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

$$1$$