Solve b+(21b-10b)

$$b + ( 21 b - 10 b )$$

Evaluate

$$12b$$

Solution Steps

Combine b and 21b to get 22b.

$$22b-10b$$

Combine 22b and -10b to get 12b.

$$12b$$

Differentiate w.r.t. b

$$12$$

Steps Using Definition of a Derivative

Combine b and 21b to get 22b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(22b-10b)$$

Combine 22b and -10b to get 12b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(12b)$$

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

$$12b^{1-1}$$

Subtract 1 from 1.

$$12b^{0}$$

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

$$12\times 1$$

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

$$12$$