Solve 32.25quadtext{(b)}44.25

$$32.25 \quad \text { (b) } 44.25$$

Differentiate w.r.t. b

$$1427.0625$$

Steps Using Definition of a Derivative

Multiply 32.25 and 44.25 to get 1427.0625.

$$\frac{\mathrm{d}}{\mathrm{d}b}(1427.0625b)$$

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

$$1427.0625b^{1-1}$$

Subtract 1 from 1.

$$1427.0625b^{0}$$

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

$$1427.0625\times 1$$

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

$$1427.0625$$

Evaluate

$$\frac{22833b}{16}$$

Solution Steps

Multiply 32.25 and 44.25 to get 1427.0625.

$$1427.0625b$$