Solve 14b+21b-10b

$$14b+21b-10b$$

Evaluate

$$25b$$

Solution Steps

Combine 14b and 21b to get 35b.

$$35b-10b$$

Combine 35b and -10b to get 25b.

$$25b$$

Differentiate w.r.t. b

$$25$$

Steps Using Definition of a Derivative

Combine 14b and 21b to get 35b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(35b-10b)$$

Combine 35b and -10b to get 25b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(25b)$$

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

$$25b^{1-1}$$

Subtract 1 from 1.

$$25b^{0}$$

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

$$25\times 1$$

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

$$25$$