Solve (x-1)+x+(x+1)

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

Evaluate

$$3x$$

Solution Steps

Combine x and x to get 2x.

$$2x-1+x+1$$

Combine 2x and x to get 3x.

$$3x-1+1$$

Add -1 and 1 to get 0.

$$3x$$

Differentiate w.r.t. x

$$3$$

Steps Using Definition of a Derivative

Combine x and x to get 2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x-1+x+1)$$

Combine 2x and x to get 3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-1+1)$$

Add -1 and 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x)$$

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

$$3x^{1-1}$$

Subtract 1 from 1.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$