Solve 36quadtext{(b)}32

$$36 \quad \text { (b) } 32$$

Differentiate w.r.t. b

$$1152$$

Steps Using Definition of a Derivative

Multiply 36 and 32 to get 1152.

$$\frac{\mathrm{d}}{\mathrm{d}b}(1152b)$$

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

$$1152b^{1-1}$$

Subtract 1 from 1.

$$1152b^{0}$$

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

$$1152\times 1$$

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

$$1152$$

Evaluate

$$1152b$$

Solution Steps

Multiply 36 and 32 to get 1152.

$$1152b$$