Solve b+8b

$$b + 8 b$$

Differentiate w.r.t. b

$$9$$

Steps Using Definition of a Derivative

Combine b and 8b to get 9b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(9b)$$

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

$$9b^{1-1}$$

Subtract 1 from 1.

$$9b^{0}$$

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

$$9\times 1$$

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

$$9$$

Evaluate

$$9b$$

Solution Steps

Combine b and 8b to get 9b.

$$9b$$