Solve 3(9b)

$$3 ( 9 b )$$

Differentiate w.r.t. b

$$27$$

Steps Using Definition of a Derivative

Multiply 3 and 9 to get 27.

$$\frac{\mathrm{d}}{\mathrm{d}b}(27b)$$

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

$$27b^{1-1}$$

Subtract 1 from 1.

$$27b^{0}$$

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

$$27\times 1$$

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

$$27$$

Evaluate

$$27b$$

Solution Steps

Multiply 3 and 9 to get 27.

$$27b$$