Solve (2+x)+(x+1)

$$(2+x)+(x+1)$$

Evaluate

$$2x+3$$

Solution Steps

Combine x and x to get 2x.

$$2+2x+1$$

Add 2 and 1 to get 3.

$$3+2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Derivative Rule for Sum

Combine x and x to get 2x.

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

Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3+2x)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$