Solve a-(a-b)=

$$a - ( a - b ) =$$

Evaluate

$$b$$

Solution Steps

To find the opposite of a-b, find the opposite of each term.

$$a-a-\left(-b\right)$$

The opposite of -b is b.

$$a-a+b$$

Combine a and -a to get 0.

$$b$$

Differentiate w.r.t. b

$$1$$

Steps Using Definition of a Derivative

To find the opposite of a-b, find the opposite of each term.

$$\frac{\mathrm{d}}{\mathrm{d}b}(a-a-\left(-b\right))$$

The opposite of -b is b.

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

Combine a and -a to get 0.

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

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

$$b^{1-1}$$

Subtract 1 from 1.

$$b^{0}$$

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

$$1$$