Solve 7+6b-7+6b

$$7 + 6 b - 7 + 6 b$$

Evaluate

$$12b$$

Solution Steps

Subtract 7 from 7 to get 0.

$$6b+6b$$

Combine 6b and 6b to get 12b.

$$12b$$

Differentiate w.r.t. b

$$12$$

Steps Using Definition of a Derivative

Subtract 7 from 7 to get 0.

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

Combine 6b and 6b 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.

$$12$$