Solve (x-3)+(2x+1)

$$( x - 3 ) + ( 2 x + 1 )$$

Evaluate

$$3x-2$$

Solution Steps

Combine x and 2x to get 3x.

$$3x-3+1$$

Add -3 and 1 to get -2.

$$3x-2$$

Differentiate w.r.t. x

$$3$$

Steps Using Derivative Rule for Sum

Combine x and 2x to get 3x.

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

Add -3 and 1 to get -2.

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

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}.

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

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.

$$3$$