Solve 4a+3b-4a-b

$$4 a + 3 b - 4 a - b$$

Evaluate

$$2b$$

Solution Steps

Combine 4a and -4a to get 0.

$$3b-b$$

Combine 3b and -b to get 2b.

$$2b$$

Differentiate w.r.t. b

$$2$$

Steps Using Definition of a Derivative

Combine 4a and -4a to get 0.

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

Combine 3b and -b to get 2b.

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

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.

$$2$$