Solve 2b+9b-4b

$$2 b + 9 b - 4 b$$

Evaluate

$$7b$$

Solution Steps

Combine 2b and 9b to get 11b.

$$11b-4b$$

Combine 11b and -4b to get 7b.

$$7b$$

Differentiate w.r.t. b

$$7$$

Steps Using Definition of a Derivative

Combine 2b and 9b to get 11b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(11b-4b)$$

Combine 11b and -4b to get 7b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(7b)$$

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

$$7b^{1-1}$$

Subtract 1 from 1.

$$7b^{0}$$

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

$$7\times 1$$

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

$$7$$