Solve -7+13b+(-6b)-b

$$- 7 + 13 b + ( - 6 b ) - b$$

Evaluate

$$6b-7$$

Solution Steps

Combine 13b and -6b to get 7b.

$$-7+7b-b$$

Combine 7b and -b to get 6b.

$$-7+6b$$

Differentiate w.r.t. b

$$6$$

Steps Using Derivative Rule for Sum

Combine 13b and -6b to get 7b.

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

Combine 7b and -b to get 6b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7+6b)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. 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.

$$6$$