Solve 2b+2b+2b

$$2 b + 2 b + 2 b$$

Evaluate

$$6b$$

Solution Steps

Combine 2b and 2b to get 4b.

$$4b+2b$$

Combine 4b and 2b to get 6b.

$$6b$$

Differentiate w.r.t. b

$$6$$

Steps Using Definition of a Derivative

Combine 2b and 2b to get 4b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4b+2b)$$

Combine 4b and 2b to get 6b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(6b)$$

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

$$6b^{1-1}$$

Subtract 1 from 1.

$$6b^{0}$$

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

$$6\times 1$$

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

$$6$$