Solve 2h/h*1/h

$$\frac { 2 h } { h } \times \frac { 1 } { h }$$

Evaluate

$$\frac{2}{h}$$

Solution Steps

Cancel out h in both numerator and denominator.

$$2\times \frac{1}{h}$$

Express 2\times \frac{1}{h} as a single fraction.

$$\frac{2}{h}$$

Differentiate w.r.t. h

$$-\frac{2}{h^{2}}$$

Steps Using Definition of a Derivative

Cancel out h in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}h}(2\times \frac{1}{h})$$

Express 2\times \frac{1}{h} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{2}{h})$$

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

$$-2h^{-1-1}$$

Subtract 1 from -1.

$$-2h^{-2}$$