Solve 5b-4b+b-15

$$5 b - 4 b + b - 15$$

Evaluate

$$2b-15$$

Solution Steps

Combine 5b and -4b to get b.

$$b+b-15$$

Combine b and b to get 2b.

$$2b-15$$

Differentiate w.r.t. b

$$2$$

Steps Using Derivative Rule for Sum

Combine 5b and -4b to get b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b+b-15)$$

Combine b and b to get 2b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b-15)$$

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}.

$$2b^{1-1}$$

Subtract 1 from 1.

$$2b^{0}$$

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

$$2\times 1$$

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

$$2$$