Solve 16(4b)

$$16 ( 4 b )$$

Differentiate w.r.t. b

$$64$$

Steps Using Definition of a Derivative

Multiply 16 and 4 to get 64.

$$\frac{\mathrm{d}}{\mathrm{d}b}(64b)$$

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

$$64b^{1-1}$$

Subtract 1 from 1.

$$64b^{0}$$

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

$$64\times 1$$

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

$$64$$

Evaluate

$$64b$$

Solution Steps

Multiply 16 and 4 to get 64.

$$64b$$