Solve 7b-3+3b-2b

$$7 b - 3 + 3 b - 2 b$$

Evaluate

$$8b-3$$

Solution Steps

Combine 7b and 3b to get 10b.

$$10b-3-2b$$

Combine 10b and -2b to get 8b.

$$8b-3$$

Differentiate w.r.t. b

$$8$$

Steps Using Derivative Rule for Sum

Combine 7b and 3b to get 10b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(10b-3-2b)$$

Combine 10b and -2b to get 8b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8b-3)$$

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}.

$$8b^{1-1}$$

Subtract 1 from 1.

$$8b^{0}$$

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

$$8\times 1$$

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

$$8$$