Solve -1-1(-1-x)

$$- 1 - 1 ( - 1 - x )$$

Evaluate

$$x$$

Solution Steps

To find the opposite of -1-x, find the opposite of each term.

$$-1-\left(-1\right)-\left(-x\right)$$

The opposite of -1 is 1.

$$-1+1-\left(-x\right)$$

The opposite of -x is x.

$$-1+1+x$$

Add -1 and 1 to get 0.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

To find the opposite of -1-x, find the opposite of each term.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1-\left(-1\right)-\left(-x\right))$$

The opposite of -1 is 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1+1-\left(-x\right))$$

The opposite of -x is x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1+1+x)$$

Add -1 and 1 to get 0.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$