Solve bh:5:b

$$b h : 5 : b$$

Evaluate

$$\frac{h}{5}$$

Solution Steps

Express \frac{\frac{bh}{5}}{b} as a single fraction.

$$\frac{bh}{5b}$$

Cancel out b in both numerator and denominator.

$$\frac{h}{5}$$

Differentiate w.r.t. h

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

Steps Using Definition of a Derivative

Express \frac{\frac{bh}{5}}{b} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{bh}{5b})$$

Cancel out b in both numerator and denominator.

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

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

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

Subtract 1 from 1.

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

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.

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