Solve 180quadtext{(b)}100

$$180 \quad \text { (b) } 100$$

Differentiate w.r.t. b

$$18000$$

Steps Using Definition of a Derivative

Multiply 180 and 100 to get 18000.

$$\frac{\mathrm{d}}{\mathrm{d}b}(18000b)$$

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

$$18000b^{1-1}$$

Subtract 1 from 1.

$$18000b^{0}$$

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

$$18000\times 1$$

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

$$18000$$

Evaluate

$$18000b$$

Solution Steps

Multiply 180 and 100 to get 18000.

$$18000b$$