Solve a+b-2a+3a-b

$$a + b - 2 a + 3 a - b$$

Evaluate

$$2a$$

Solution Steps

Combine a and -2a to get -a.

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

Combine -a and 3a to get 2a.

$$2a+b-b$$

Combine b and -b to get 0.

$$2a$$

Differentiate w.r.t. a

$$2$$

Steps Using Definition of a Derivative

Combine a and -2a to get -a.

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

Combine -a and 3a to get 2a.

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

Combine b and -b to get 0.

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

The derivative of ax^{n} is nax^{n-1}.

$$2a^{1-1}$$

Subtract 1 from 1.

$$2a^{0}$$

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

$$2\times 1$$

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

$$2$$